{"id":34658,"date":"2021-03-28T13:00:52","date_gmt":"2021-03-28T13:00:52","guid":{"rendered":"https:\/\/toposuranos.com\/material\/?p=34658"},"modified":"2025-09-19T23:43:00","modified_gmt":"2025-09-19T23:43:00","slug":"%e7%86%b1%e5%8a%9b%e5%ad%a6%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e7%b5%84%e5%90%88%e3%81%9b%e8%ab%96%e3%81%ae%e5%95%8f%e9%a1%8c","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/ja\/%e7%86%b1%e5%8a%9b%e5%ad%a6%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e7%b5%84%e5%90%88%e3%81%9b%e8%ab%96%e3%81%ae%e5%95%8f%e9%a1%8c\/","title":{"rendered":"\u71b1\u529b\u5b66\u306b\u304a\u3051\u308b\u7d44\u5408\u305b\u8ad6\u306e\u554f\u984c"},"content":{"rendered":"<style>\n\tp, ul, ol {\n\t\ttext-align: justify;\n\t}\n\th1, h2 {\n\ttext-align:center;\n\t}\n<\/style>\n<h1>\u71b1\u529b\u5b66\u306b\u304a\u3051\u308b\u7d44\u5408\u305b\u8ad6\u306e\u554f\u984c<\/h1>\n<p style=\"text-align:center;\"><em>\u4f55\u767e\u4e07\u3082\u306e\u8981\u7d20\u304b\u3089\u69cb\u6210\u3055\u308c\u308b\u7269\u7406\u7cfb\u3092\u7d44\u7e54\u5316\u3059\u308b\u65b9\u6cd5\u306f\u3044\u304f\u3064\u5b58\u5728\u3059\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u3053\u306e\u8b1b\u7fa9\u3067\u306f\u3001\u6570\u5b66\u304c\u3069\u306e\u3088\u3046\u306b\u3057\u3066\u3053\u306e\u3088\u3046\u306a\u554f\u3044\u306b\u7b54\u3048\u308b\u306e\u304b\u3092\u71b1\u529b\u5b66\u306e\u6587\u8108\u3067\u6271\u3044\u307e\u3059\u3002\u539f\u5b50\u7cfb\u306b\u304a\u3051\u308b\u30a8\u30cd\u30eb\u30ae\u30fc\u91cf\u5b50\u306e\u5206\u5e03\u304b\u3089\u3001\u5927\u898f\u6a21\u306a\u7cfb\u306b\u304a\u3051\u308b\u53ef\u80fd\u306a\u914d\u7f6e\u6570\u306e\u8a08\u7b97\u306b\u81f3\u308b\u307e\u3067\u3092\u5bfe\u8c61\u3068\u3057\u307e\u3059\u3002\u7d44\u5408\u305b\u8ad6\u3001\u5bfe\u6570\u3001\u30b9\u30bf\u30fc\u30ea\u30f3\u30b0\u306e\u516c\u5f0f\u3068\u3044\u3063\u305f\u9053\u5177\u3092\u7528\u3044\u3001\u6975\u3081\u3066\u5927\u304d\u306a\u6570\u3092\u6271\u3044\u3001\u8868\u9762\u7684\u306b\u306f\u624b\u306b\u8ca0\u3048\u306a\u3044\u3088\u3046\u306b\u898b\u3048\u308b\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b\u65b9\u6cd5\u3092\u63a2\u7a76\u3057\u307e\u3059\u3002<br \/>\n<\/em><\/p>\n<p style=\"text-align:center;\"><strong>\u5b66\u7fd2\u76ee\u6a19:<\/strong><br \/>\n\u672c\u8b1b\u7fa9\u7d42\u4e86\u6642\u306b\u5b66\u751f\u306f\u4ee5\u4e0b\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b<\/p>\n<ol>\n<li><strong>\u7406\u89e3\u3059\u308b<\/strong>\uff1a\u7d44\u5408\u305b\u306e\u554f\u984c\u304c\u71b1\u529b\u5b66\u3001\u7279\u306b\u7269\u7406\u7cfb\u306e\u7d44\u7e54\u5316\u306b\u304a\u3044\u3066\u3069\u306e\u3088\u3046\u306b\u5fdc\u7528\u3055\u308c\u308b\u304b\u3002<\/li>\n<li><strong>\u8a08\u7b97\u3059\u308b<\/strong>\uff1a\u7d44\u5408\u305b\u6570\u3092\u7528\u3044\u3066\u539f\u5b50\u7cfb\u306e\u53ef\u80fd\u306a\u914d\u7f6e\u3092\u6c42\u3081\u308b\u3002<\/li>\n<li><strong>\u9069\u7528\u3059\u308b<\/strong>\uff1a\u30b9\u30bf\u30fc\u30ea\u30f3\u30b0\u306e\u516c\u5f0f\u3092\u7528\u3044\u3066\u8907\u96d1\u306a\u914d\u7f6e\u306e\u30aa\u30fc\u30c0\u30fc\u3092\u63a8\u5b9a\u3059\u308b\u3002<\/li>\n<\/ol>\n<p style=\"text-align:center;\"><u>\u5185\u5bb9\u76ee\u6b21<\/u>:<br \/>\n<a href=\"#1\"><strong>\u7d44\u5408\u305b\u306e\u554f\u984c<\/strong><\/a><br \/>\n<a href=\"#2\"><strong>\u5927\u304d\u306a\u6570\u306b\u95a2\u3059\u308b\u554f\u984c<\/strong><\/a><br \/>\n<a href=\"#3\">\u5bfe\u6570\u3068\u30b9\u30bf\u30fc\u30ea\u30f3\u30b0\u306e\u516c\u5f0f\u3092\u7528\u3044\u305f\u30aa\u30fc\u30c0\u30fc\u8a08\u7b97<\/a><br \/>\n<a href=\"#4\"><em>\u7c21\u7565\u5316\u8fd1\u4f3c\u306b\u3088\u308b\u5c55\u958b<\/em><\/a><br \/>\n<a href=\"#5\"><em>\u901a\u5e38\u306e\u8fd1\u4f3c\u306b\u3088\u308b\u5c55\u958b<\/em><\/a><br \/>\n<a href=\"#6\"><strong>\u7d44\u5408\u305b\u304a\u3088\u3073\u30aa\u30fc\u30c0\u30fc\u8a08\u7b97\u306e\u4f8b<\/strong><\/a><br \/>\n<a href=\"#7\">\u30b1\u30fc\u30b91: \u5927\u304d\u306a\u968e\u4e57<\/a><br \/>\n<a href=\"#8\">\u30b1\u30fc\u30b92: \u5927\u304d\u306a\u7d44\u5408\u305b<\/a>\n<\/p>\n<p>\u7279\u5b9a\u306e\u7269\u7406\u7684\u72b6\u6cc1\u306b\u304a\u3044\u3066\u3088\u304f\u3042\u308b\u554f\u3044\u306f\u3001\u300c\u4e0e\u3048\u3089\u308c\u305f\u7cfb\u3092\u7570\u306a\u308b\u65b9\u6cd5\u3067\u3044\u304f\u3064\u7d44\u7e54\u5316\u3067\u304d\u308b\u304b\u300d\u3068\u3044\u3046\u3082\u306e\u3067\u3059\u3002\u3053\u308c\u3089\u306e\u7d44\u5408\u305b\u7684\u554f\u984c\u306f\u71b1\u529b\u5b66\u3067\u983b\u7e41\u306b\u73fe\u308c\u307e\u3059\u3002\u6700\u521d\u306f\u5358\u7d14\u306b\u898b\u3048\u308b\u3082\u306e\u306e\u3001<strong><a href=\"http:\/\/toposuranos.com\/material\/mol-y-masa-molar\/\" rel=\"noopener\" target=\"_blank\">\u30a2\u30dc\u30ac\u30c9\u30ed\u6570<\/a><\/strong> <span class=\"katex-eq\" data-katex-display=\"false\">N_A<\/span> \u306e\u3088\u3046\u306a\u6975\u3081\u3066\u5927\u304d\u306a\u6570\u3092\u53d6\u308a\u5165\u308c\u308b\u3068\u8907\u96d1\u5316\u3057\u3001\u3053\u306e\u898f\u6a21\u306e\u5927\u304d\u3055\u306b\u5727\u5012\u3055\u308c\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u7d44\u5408\u305b\u306e\u554f\u984c<\/h2>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/K7_De9wux4A?si=q93_T8xh15EdfJ6B\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/center><\/p>\n<p>\u71b1\u529b\u5b66\u306b\u304a\u3044\u3066\u7d44\u5408\u305b\u3092\u542b\u3080\u554f\u984c\u306e\u898f\u6a21\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u3001\u6b21\u306e\u4f8b\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<h4>\u4f8b: \u30a8\u30cd\u30eb\u30ae\u30fc\u91cf\u5b50\u306b\u95a2\u3059\u308b\u7d44\u5408\u305b<\/h4>\n<p>10\u500b\u306e\u539f\u5b50\u304b\u3089\u6210\u308b\u7cfb\u3092\u4eee\u5b9a\u3057\u307e\u3059\u3002\u5404\u539f\u5b50\u306f<strong>\u30a8\u30cd\u30eb\u30ae\u30fc\u91cf\u5b50<\/strong>\u3068\u547c\u3070\u308c\u308b1\u5358\u4f4d\u307e\u305f\u306f0\u5358\u4f4d\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u307f\u3092\u4fdd\u6301\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u3068\u304d\u3001(a) 10\u500b\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u91cf\u5b50\u3001(b) 5\u500b\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u91cf\u5b50\u3092\u6301\u3064\u5834\u5408\u3001\u305d\u308c\u3089\u3092\u7570\u306a\u308b\u65b9\u6cd5\u3067\u5206\u914d\u3059\u308b\u65b9\u6cd5\u306f\u3044\u304f\u3064\u5b58\u5728\u3059\u308b\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<h5>\u89e3\u7b54<\/h5>\n<p>\u539f\u5b50\u3092\u30a8\u30cd\u30eb\u30ae\u30fc\u91cf\u5b50\u3092\u4fdd\u6301\u3067\u304d\u308b\u7a7a\u304d\u30b9\u30da\u30fc\u30b9\u3068\u3057\u3066\u8868\u3057\u307e\u3059\u3002\u3082\u3057\u305d\u306e\u30b9\u30da\u30fc\u30b9\u304c\u57cb\u307e\u3063\u3066\u3044\u308c\u3070\u3001\u305d\u306e\u539f\u5b50\u306f\u3059\u3067\u306b\u30a8\u30cd\u30eb\u30ae\u30fc\u91cf\u5b50\u3092\u4fdd\u6301\u3057\u3066\u3044\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/p>\n<p><center><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-zJa7H7iMOGY\/YF3QhG94SoI\/AAAAAAAAEuI\/olfdSHfeJOgKea3vHXEAyr5QCJ1ZjmcpgCLcBGAsYHQ\/s839\/cuantodeenergia.PNG\" \n               class=\"aligncenter lazyload\" alt=\"\u71b1\u529b\u5b66\u306b\u304a\u3051\u308b\u7d44\u5408\u305b\u306e\u554f\u984c\" width=\"400\" height=\"200\" \/><\/center><\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">k<\/span> \u500b\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u91cf\u5b50\u304c <span class=\"katex-eq\" data-katex-display=\"false\">n<\/span> \u500b\u306e\u30b9\u30da\u30fc\u30b9\u306b\u5206\u914d\u3055\u308c\u308b\u65b9\u6cd5\u306e\u6570\u3092\u6570\u3048\u308b\u305f\u3081\u306b\u3001\u7d44\u5408\u305b\u6570\u3092\u7528\u3044\u307e\u3059\u3002<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\binom{n}{k}=\\dfrac{n!}{k!(n-k)!}<\/span>\n<p>\u3053\u306e\u8a08\u7b97\u306b\u3088\u308a\u3001\u53ef\u80fd\u306a\u72b6\u614b\u306e\u6570 <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega<\/span> \u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n<p><strong>(a)<\/strong> 10\u500b\u306e\u91cf\u5b50\u304c10\u500b\u306e\u30b9\u30da\u30fc\u30b9\u306b\u5206\u914d\u3055\u308c\u308b\u5834\u5408\u3001\u305d\u308c\u3092\u884c\u3046\u65b9\u6cd5\u306f1\u901a\u308a\u3057\u304b\u3042\u308a\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u3001<span class=\"katex-eq\" data-katex-display=\"false\">\\Omega=1<\/span> \u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\Omega = \\binom{10}{10}=\\dfrac{10!}{10!(10-10)!} = \\dfrac{10!}{10!0!} = 1 <\/span>\n<p><strong>(b)<\/strong> 5\u500b\u306e\u91cf\u5b50\u304c10\u500b\u306e\u30b9\u30da\u30fc\u30b9\u306b\u5206\u914d\u3055\u308c\u308b\u5834\u5408\u3001\u6b21\u306e\u8a08\u7b97\u3092\u884c\u3044\u307e\u3059\u3002<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\n\\Omega &amp;= \\displaystyle\\binom{10}{5} \\\\ \\\\\n\n&amp;=\\dfrac{10!}{5!(10-5)!} = \\dfrac{10!}{5!\\cdot 5!} \\\\ \\\\\n\n&amp;= \\dfrac{5! \\cdot 6\\cdot 7\\cdot 8 \\cdot 9\\cdot 10}{5! \\cdot 2\\cdot 3\\cdot 4\\cdot 5} \\\\ \\\\\n\n&amp;= \\dfrac{ 7\\cdot 8 \\cdot 9\\cdot 10}{ 4\\cdot 5} = 7\\cdot 2 \\cdot 9 \\cdot 2 = 252\n\n\\end{array}<\/span>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001252\u901a\u308a\u306e\u69cb\u6210\u304c\u53ef\u80fd\u3067\u3059\u3002<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u5927\u304d\u306a\u6570\u306b\u95a2\u3059\u308b\u554f\u984c<\/h2>\n<p>\u3053\u3053\u307e\u3067\u5206\u6790\u3057\u305f\u306e\u306f\u59cb\u307e\u308a\u306b\u3059\u304e\u307e\u305b\u3093\u3002\u30b1\u30fc\u30b9(b)\u306e\u7cfb\u3092100\u500b\u306e\u539f\u5b50\u306850\u500b\u306e\u91cf\u5b50\u306b\u62e1\u5f35\u3059\u308b\u3068\u3001<span class=\"katex-eq\" data-katex-display=\"false\">\\Omega \\approx 10^{28}<\/span> \u3068\u306a\u308a\u307e\u3059\u3002\u3055\u3089\u306b\u30011\u30e2\u30eb\u306e\u539f\u5b50\u3067\u540c\u3058\u8a08\u7b97\u3092\u884c\u3046\u3068\u3001\u305d\u306e\u7d50\u679c\u306f\u60f3\u50cf\u3092\u7d76\u3059\u308b\u3082\u306e\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h3>\u5bfe\u6570\u3068\u30b9\u30bf\u30fc\u30ea\u30f3\u30b0\u306e\u516c\u5f0f\u3092\u7528\u3044\u305f\u30aa\u30fc\u30c0\u30fc\u8a08\u7b97<\/h3>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\Omega = \\binom{n}{k}<\/span> \u306e\u3088\u3046\u306a\u5927\u304d\u306a <span class=\"katex-eq\" data-katex-display=\"false\">n<\/span> \u306e\u5024\u306b\u5bfe\u3057\u3066\u898f\u6a21\u3092\u63a8\u5b9a\u3057\u305f\u3044\u5834\u5408\u3001\u7279\u306b <span class=\"katex-eq\" data-katex-display=\"false\">k=n\/2<\/span> \u306e\u3068\u304d\u6700\u5927\u5024\u304c\u5f97\u3089\u308c\u308b\u306e\u3067\u3001\u305d\u306e\u969b\u306b\u306f\u30b9\u30bf\u30fc\u30ea\u30f3\u30b0\u306e\u5bfe\u6570\u8fd1\u4f3c\u3092\u7528\u3044\u308b\u3053\u3068\u304c\u6709\u52b9\u3067\u3059\u3002<\/p>\n<p>\u3053\u306e\u3088\u3046\u306a\u898f\u6a21\u306e\u6570\u3092\u6271\u3046\u305f\u3081\u306b\u3001\u8a08\u7b97\u3092\u5bfe\u6570\u3092\u7528\u3044\u3066\u66f8\u304d\u63db\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\ln(\\Omega)=\\ln\\left(\\dfrac{n!}{k!(n-k)!}\\right)= \\ln(n!) - \\ln((n-k)!) - \\ln(k!)<\/span>\n<p>\u3053\u306e\u5f0f\u306f\u968e\u4e57\u306e\u5bfe\u6570\u306b\u5bfe\u3057\u3066\u30b9\u30bf\u30fc\u30ea\u30f3\u30b0\u8fd1\u4f3c\u3092\u9069\u7528\u3059\u308b\u3053\u3068\u3067\u6271\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u3053\u3067\u306f\u3001\u901a\u5e38\u5f62\u3068\u7c21\u7565\u5f62\u306e2\u7a2e\u985e\u306e\u8fd1\u4f3c\u3092\u5229\u7528\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li><strong>\u901a\u5e38\u8fd1\u4f3c:<\/strong> <span class=\"katex-eq\" data-katex-display=\"false\">\\ln(n!) \\approx \\dfrac{1}{2}\\ln(2n\\pi) + n\\ln(n) - n<\/span> <\/li>\n<li><strong>\u7c21\u7565\u8fd1\u4f3c:<\/strong> <span class=\"katex-eq\" data-katex-display=\"false\">\\ln(n!) \\approx  n\\ln(n) - n<\/span> <\/li>\n<\/ul>\n<p><a name=\"4\"><\/a><\/p>\n<h4>\u7c21\u7565\u8fd1\u4f3c\u306b\u3088\u308b\u5c55\u958b<\/h4>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/fnt99FeeHPM?si=H6r-5GhO2yqaeaXd\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/center><\/p>\n<p>\u7c21\u7565\u8fd1\u4f3c\u3092\u7528\u3044\u308b\u3068\u3001\u6b21\u306e\u7d50\u679c\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\n\\ln(\\Omega) &amp; \\approx n\\ln(n) - n - (n-k)\\ln(n-k) + (n-k) - k\\ln(k) + k \\\\ \\\\\n\n&amp;= n\\ln(n) - (n-k)\\ln(n-k) - k\\ln(k) \\\\ \\\\\n\n&amp;= n\\ln(n) - n\\ln(n-k) + k\\ln(n-k) - k\\ln(k) \\\\ \\\\\n\n&amp;= \\ln\\left[ \\left( \\dfrac{n}{n-k} \\right)^n \\right] + k\\ln\\left( \\dfrac{n-k}{k} \\right) \\\\ \\\\\n\n&amp;= \\ln\\left[ \\dfrac{1}{\\left(1 - \\dfrac{k}{n} \\right)^n} \\right] + k\\ln\\left( \\dfrac{n}{k} - 1 \\right)\n\n\\end{array}<\/span>\n<p>\u3053\u306e\u8fd1\u4f3c\u306f\u5927\u304d\u306a <span class=\"katex-eq\" data-katex-display=\"false\">n<\/span> \u306e\u5024\u3092\u8003\u616e\u3057\u3066\u3044\u308b\u305f\u3081\u3001\u6b21\u306e\u95a2\u4fc2\u3092\u9069\u7528\u3057\u307e\u3059\u3002<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{n\\to\\infty} \\left(1-\\dfrac{k}{n} \\right)^n = e^{-k} <\/span>\n<p>\u3057\u305f\u304c\u3063\u3066:<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\ln(\\Omega) \\approx \\ln(e^k) + k\\ln\\left( \\dfrac{n}{k} -1 \\right) = k + k\\ln\\left( \\dfrac{n}{k} -1 \\right) <\/span>\n<p>\u6700\u5f8c\u306b\u3001\u5bfe\u6570\u306e\u5e95\u306e\u5909\u63db\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u6b21\u306e\u5f0f\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\log(\\Omega) = \\log(e)\\ln(\\Omega) \\approx k\\log(e)\\left[1 + \\ln\\left( \\dfrac{n}{k} - 1 \\right) \\right] <\/span>\n<p>\u3053\u308c\u306b\u3088\u308a\u3001\u6b21\u306e\u7d50\u679c\u304c\u5c0e\u304b\u308c\u307e\u3059\u3002<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\boxed{\\Omega \\approx 10^{k\\log(e)\\left[1 + \\ln\\left( \\dfrac{n}{k} - 1 \\right) \\right]}}<\/span>\n<p>\u3053\u306e\u7d50\u679c\u306f <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega<\/span> \u306e\u6b63\u78ba\u306a\u5024\u3092\u4e0e\u3048\u308b\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u304c\u3001\u305d\u308c\u3092\u8868\u73fe\u3059\u308b\u306e\u306b\u5fc5\u8981\u306a\u6841\u6570\u3092\u63a8\u5b9a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u3001<span class=\"katex-eq\" data-katex-display=\"false\">n<\/span> \u304c\u5927\u304d\u304f\u306a\u308b\u306b\u3064\u308c\u3066\u7cbe\u5ea6\u304c\u5411\u4e0a\u3057\u307e\u3059\u3002\u3053\u306e\u65b9\u6cd5\u3067\u306f\u6307\u6570\u90e8\u5206\u306e\u307f\u3092\u8a08\u7b97\u3059\u308c\u3070\u3088\u304f\u3001\u591a\u304f\u306e\u8a08\u7b97\u6a5f\u3067\u5b9f\u884c\u53ef\u80fd\u3067\u3059\u3002<\/p>\n<p>\u3055\u3089\u306b\u3001\u3053\u306e\u65b9\u6cd5\u306f\u5927\u304d\u306a <span class=\"katex-eq\" data-katex-display=\"false\">n<\/span> \u306b\u5bfe\u3057\u3066 <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega<\/span> \u306e\u6700\u5927\u5024\u3092\u7d20\u65e9\u304f\u63a8\u5b9a\u3059\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002<span class=\"katex-eq\" data-katex-display=\"false\">k=n\/2<\/span> \u306e\u5834\u5408\u3092\u8003\u3048\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\text{Max}\\left(\\Omega\\right) \\approx 10^{\\dfrac{n}{2}\\log(e)\\left[1 + \\ln\\left( \\dfrac{n}{n\/2} - 1 \\right) \\right]} = 10^{ n\\log(e)\/2 } <\/span>\n<p><a name=\"5\"><\/a><\/p>\n<h4>\u901a\u5e38\u8fd1\u4f3c\u306b\u3088\u308b\u5c55\u958b<\/h4>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/i3OO4lHV24Q?si=jEPCafXqgVxNYqH-\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/center><\/p>\n<p>\u901a\u5e38\u8fd1\u4f3c\u306b\u3088\u308b\u5c55\u958b\u306f\u3088\u308a\u6b63\u78ba\u306a\u7d50\u679c\u3092\u4e0e\u3048\u307e\u3059\u304c\u3001\u8ffd\u52a0\u306e\u8a08\u7b97\u3092\u4f34\u3046\u305f\u3081\u3001\u5927\u304d\u306a <span class=\"katex-eq\" data-katex-display=\"false\">n<\/span> \u306e\u5024\u306b\u5bfe\u3057\u3066\u306f\u304a\u304a\u3088\u305d\u540c\u7b49\u306e\u7d50\u679c\u3068\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u8fd1\u4f3c\u306e\u5c55\u958b\u306f\u3001\u7c21\u7565\u8fd1\u4f3c\u3067\u65e2\u306b\u884c\u3063\u305f\u3044\u304f\u3064\u304b\u306e\u8a08\u7b97\u3092\u518d\u5229\u7528\u3059\u308b\u5f62\u3067\u3001\u6b21\u306e\u3088\u3046\u306a\u63a8\u8ad6\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rcl}\n\n\\ln(\\Omega) &amp; = &amp; \\ln\\left(\\dfrac{n!}{k!(n-k)!}\\right)= \\ln(n!) - \\ln((n-k)!) - \\ln(k!) \\\\ \\\\\n\n&amp; \\approx &amp; \\color{red}\\dfrac{1}{2}\\ln(2n\\pi)\\color{black} + n\\ln(n) - n \\\\ \\\\\n\n&amp; &amp; \\color{red}-\\dfrac{1}{2}\\ln(2(n-k)\\pi)\\color{black} - (n-k)\\ln(n-k) + (n-k) \\\\ \\\\\n\n&amp; &amp; \\color{red}-\\dfrac{1}{2}\\ln(2k\\pi)\\color{black} - k\\ln(k) + k\n\n\\end{array}<\/span>\n<p>\u8d64\u3067\u793a\u3055\u308c\u305f\u90e8\u5206\u306f\u901a\u5e38\u8fd1\u4f3c\u3067\u8ffd\u52a0\u7684\u306b\u8003\u616e\u3055\u308c\u308b\u8981\u7d20\u3067\u3042\u308a\u3001\u305d\u308c\u4ee5\u5916\u306f\u7c21\u7565\u8fd1\u4f3c\u3067\u5f97\u3089\u308c\u305f\u3082\u306e\u3068\u540c\u3058\u3067\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rcl}\n\n\\ln(\\Omega) &amp; \\approx &amp; \\color{red}\\dfrac{1}{2}\\ln\\left( \\dfrac{2n\\pi}{2(n-k)\\pi \\cdot 2k\\pi} \\right)\\color{black} + k + k\\ln\\left(\\dfrac{n}{k} - 1\\right) \\\\ \\\\\n\n&amp; = &amp;  k + k\\ln\\left(\\dfrac{n}{k} - 1\\right) - \\dfrac{1}{2}\\ln\\left(\\dfrac{2k\\pi(n-k)}{n}\\right)\n\n\\end{array}<\/span>\n<p>\u6b21\u306b\u3001\u5bfe\u6570\u306e\u5e95\u306e\u5909\u63db\u3092\u7528\u3044\u308b\u3068\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\log(\\Omega) = \\log(e)\\ln(\\Omega) \\approx \\log(e) \\left[ k + k\\ln\\left(\\dfrac{n}{k} - 1\\right) - \\dfrac{1}{2}\\ln\\left(\\dfrac{2k\\pi(n-k)}{n}\\right) \\right] <\/span>\n<p>\u6700\u5f8c\u306b\u3001\u5e95\u309210\u3068\u3059\u308b\u6307\u6570\u3092\u53d6\u308b\u3053\u3068\u3067\u6b21\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\Omega \\approx 10^{\\log(e) \\left[ k + k\\ln\\left(\\dfrac{n}{k} - 1\\right) - \\dfrac{1}{2}\\ln\\left(\\dfrac{2k\\pi(n-k)}{n}\\right) \\right]}\n\n<\/span>\n<p>\u3053\u3053\u3067\u3082\u524d\u3068\u540c\u69d8\u306b\u3001<span class=\"katex-eq\" data-katex-display=\"false\">k=n\/2<\/span> \u3068\u3057\u3066\u3053\u306e\u6570\u306e\u6700\u5927\u5024\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u6b21\u306e\u7d50\u679c\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rcl}\n\n\\text{Max}(\\Omega) &amp;\\approx &amp; 10^{\\log(e) \\left[ \\dfrac{n}{2} + \\dfrac{n}{2}\\ln\\left(\\dfrac{n}{(n\/2)} - 1\\right) - \\dfrac{1}{2}\\ln\\left(\\dfrac{2(n\/2)\\pi(n-n\/2)}{n}\\right) \\right]} \\\\ \\\\\n\n&amp; = &amp; 10^{\\log(e) \\left[\\dfrac{n}{2} - \\dfrac{1}{2}\\ln\\left(\\dfrac{n\\pi}{2} \\right) \\right]} = 10^{\\log(e)(n-\\ln(n\\pi\/2))\/2}\n\n\\end{array}<\/span>\n<p><a name=\"6\"><\/a><\/p>\n<h2>\u7d44\u5408\u305b\u8a08\u7b97\u304a\u3088\u3073\u30aa\u30fc\u30c0\u30fc\u63a8\u5b9a\u306e\u4f8b<\/h2>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/M7NrtICrSzU?si=6UT34333Wp5YwFU1\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/center><br \/>\n<a name=\"7\"><\/a><\/p>\n<h3>\u30b1\u30fc\u30b91: \u5927\u304d\u306a\u968e\u4e57<\/h3>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\left(10^{50}\\right)!<\/span> \u306e\u30aa\u30fc\u30c0\u30fc\u3001\u3059\u306a\u308f\u3061\u305d\u306e\u6570\u3092\u66f8\u304d\u8868\u3059\u306e\u306b\u5fc5\u8981\u306a\u6841\u6570\u3092\u63a8\u5b9a\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<h5>\u89e3\u7b54<\/h5>\n<p>\u3053\u306e\u8a08\u7b97\u3092\u884c\u3046\u305f\u3081\u306b\u3001\u6b21\u306e\u3088\u3046\u306b\u30b9\u30bf\u30fc\u30ea\u30f3\u30b0\u306e\u516c\u5f0f\u3092\u7528\u3044\u307e\u3059\u3002<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\n\\ln\\left[ \\left(10^{50}\\right)! \\right] &amp;\\approx 10^{50}\\ln\\left(10^{50}\\right) - 10^{50}\\\\ \\\\\n\n&amp;= \\left[\\ln\\left(10^{50}\\right) -1\\right]10^{50}  \\\\ \\\\\n\n&amp;= \\left[50\\ln(10)-1 \\right]10^{50} \\\\ \\\\\n\n\\end{array}\n\n<\/span>\n<p>\u6b21\u306b\u3001\u5bfe\u6570\u306e\u5e95\u306e\u5909\u63db\u3092\u9069\u7528\u3057\u307e\u3059\u3002<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\ln\\left[ \\left(10^{50}\\right)! \\right] = \\dfrac{\\log\\left[\\left(10^{50}\\right)!\\right]}{\\log{e}}<\/span>\n<p>\u3057\u305f\u304c\u3063\u3066:<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\log\\left[ \\left(10^{50}\\right)! \\right] \\approx \\log(e)\\left[50\\ln(10)-1 \\right]10^{50}\n\n<\/span>\n<p>\u6700\u5f8c\u306b\u3001\u5e95\u309210\u3068\u3059\u308b\u6307\u6570\u3092\u9069\u7528\u3059\u308b\u3068\u6b21\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\left(10^{50}\\right)!  \\approx  10^{\\log(e)\\left[50\\ln(10)-1 \\right]10^{50}} = 10^{49,5657 \\cdot 10^{50}}\n\n<\/span>\n<p>10\u306e\u4e0a\u306b\u3042\u308b\u6307\u6570\u306f\u30aa\u30fc\u30c0\u30fc\u3092\u8868\u3057\u3066\u304a\u308a\u3001<span class=\"katex-eq\" data-katex-display=\"false\">\\left(10^{50}\\right)!<\/span> \u306e\u6841\u6570\u3092\u63a8\u5b9a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p><a name=\"8\"><\/a><\/p>\n<h3>\u30b1\u30fc\u30b92: \u5927\u304d\u306a\u7d44\u5408\u305b<\/h3>\n<p>\u5e73\u5747\u7684\u306a\u5bb6\u5ead\u306b\u306f\u304a\u3088\u305d12\u500b\u306e\u7167\u660e\u30b9\u30a4\u30c3\u30c1\u304c\u3042\u308a\u3001\u305d\u308c\u305e\u308c\u304c\u70b9\u706f\u307e\u305f\u306f\u6d88\u706f\u306e\u72b6\u614b\u3092\u53d6\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u5e73\u5747\u3057\u3066\u5404\u5bb6\u5ead\u306b\u306f4\u4eba\u304c\u4f4f\u3093\u3067\u3044\u307e\u3059\u3002\u3042\u308b\u90fd\u5e02\u306b500\u4e07\u4eba\u306e\u4f4f\u6c11\u304c\u3044\u308b\u3068\u3059\u308b\u3068\u3001\u305d\u306e\u90fd\u5e02\u306e\u7167\u660e\u30b9\u30a4\u30c3\u30c1\u306e\u534a\u5206\u304c\u70b9\u706f\u3057\u3066\u3044\u308b\u5834\u5408\u3001\u53ef\u80fd\u306a\u7d44\u5408\u305b\u306f\u4f55\u901a\u308a\u3042\u308b\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<h5>\u89e3\u7b54<\/h5>\n<p>\u90fd\u5e02\u5168\u4f53\u306e\u30b9\u30a4\u30c3\u30c1\u306e\u7dcf\u6570 <span class=\"katex-eq\" data-katex-display=\"false\">n<\/span> \u306f\u6b21\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rcl}\n\nn &amp;=&amp;\\dfrac{\\text{\u90fd\u5e02\u306e\u4f4f\u6c11\u6570}}{\\text{1\u4e16\u5e2f\u3042\u305f\u308a\u306e\u4eba\u6570}} \\times \\text{1\u4e16\u5e2f\u3042\u305f\u308a\u306e\u30b9\u30a4\u30c3\u30c1\u6570} \\\\ \\\\\n\n&amp;=&amp; \\dfrac{5\\cdot 10^6}{4}\\cdot 12 = 15\\cdot 10^6\n\n\\end{array}\n\n<\/span>\n<p>\u30b9\u30a4\u30c3\u30c1\u306e\u534a\u5206\u304c\u70b9\u706f\u3057\u3066\u3044\u308b\u3059\u3079\u3066\u306e\u30df\u30af\u30ed\u72b6\u614b\u304b\u3089\u69cb\u6210\u3055\u308c\u308b\u30de\u30af\u30ed\u72b6\u614b\u306f\u3001\u6700\u3082\u591a\u304f\u306e\u69cb\u6210\u6570\u3092\u6301\u3064\u30de\u30af\u30ed\u72b6\u614b\u306b\u4e00\u81f4\u3057\u307e\u3059\u3002\u3053\u306e\u6700\u5927\u6570\u3092 <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_{max}<\/span> \u3068\u8868\u3059\u3068\u3001\u305d\u308c\u305e\u308c\u306e\u65b9\u6cd5\u3067\u6b21\u306e\u63a8\u5b9a\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n<ul>\n<ol><strong>\u901a\u5e38\u8fd1\u4f3c:<\/strong> <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_{max} = 10^{\\log(e)\\left[15\\cdot10^6 - \\ln\\left(15\\pi\\cdot10^6 \/ 2 \\right) \\right]\/2} \\approx 10^{6.514.413,542}<\/span><\/ol>\n<ol><strong>\u7c21\u7565\u8fd1\u4f3c:<\/strong> <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_{max} = 10^{\\log(e)\\left[15\\cdot10^6 \\right]\/2} \\approx 10^{6.514.417,229}<\/span><\/ol>\n<\/ul>\n<p>\u4e21\u8fd1\u4f3c\u306e\u9593\u306b\u306f\u304a\u3088\u305d4\u6841\u306e\u5dee\u304c\u3042\u308a\u307e\u3059\u304c\uff08\u304b\u306a\u308a\u5927\u304d\u3044\u3088\u3046\u306b\u898b\u3048\u308b\u304b\u3082\u3057\u308c\u307e\u305b\u3093\uff09\u3001650\u4e07\u6841\u3092\u8d85\u3048\u308b\u30aa\u30fc\u30c0\u30fc\u306b\u6bd4\u3079\u308c\u3070\u5b9f\u969b\u306b\u306f\u91cd\u8981\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u71b1\u529b\u5b66\u306b\u304a\u3051\u308b\u7d44\u5408\u305b\u8ad6\u306e\u554f\u984c \u4f55\u767e\u4e07\u3082\u306e\u8981\u7d20\u304b\u3089\u69cb\u6210\u3055\u308c\u308b\u7269\u7406\u7cfb\u3092\u7d44\u7e54\u5316\u3059\u308b\u65b9\u6cd5\u306f\u3044\u304f\u3064\u5b58\u5728\u3059\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u3053\u306e\u8b1b\u7fa9\u3067\u306f\u3001\u6570\u5b66\u304c\u3069\u306e\u3088\u3046\u306b\u3057\u3066\u3053\u306e\u3088\u3046\u306a\u554f\u3044\u306b\u7b54\u3048\u308b\u306e\u304b\u3092\u71b1\u529b\u5b66\u306e\u6587\u8108\u3067\u6271\u3044\u307e\u3059\u3002\u539f\u5b50\u7cfb\u306b\u304a\u3051\u308b\u30a8\u30cd\u30eb\u30ae\u30fc\u91cf\u5b50\u306e\u5206\u5e03\u304b\u3089\u3001\u5927\u898f\u6a21\u306a\u7cfb\u306b\u304a\u3051\u308b\u53ef\u80fd\u306a\u914d\u7f6e\u6570\u306e\u8a08\u7b97\u306b\u81f3\u308b\u307e\u3067\u3092\u5bfe\u8c61\u3068\u3057\u307e\u3059\u3002\u7d44\u5408\u305b\u8ad6\u3001\u5bfe\u6570\u3001\u30b9\u30bf\u30fc\u30ea\u30f3\u30b0\u306e\u516c\u5f0f\u3068\u3044\u3063\u305f\u9053\u5177\u3092\u7528\u3044\u3001\u6975\u3081\u3066\u5927\u304d\u306a\u6570\u3092\u6271\u3044\u3001\u8868\u9762\u7684\u306b\u306f\u624b\u306b\u8ca0\u3048\u306a\u3044\u3088\u3046\u306b\u898b\u3048\u308b\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b\u65b9\u6cd5\u3092\u63a2\u7a76\u3057\u307e\u3059\u3002 \u5b66\u7fd2\u76ee\u6a19: \u672c\u8b1b\u7fa9\u7d42\u4e86\u6642\u306b\u5b66\u751f\u306f\u4ee5\u4e0b\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b \u7406\u89e3\u3059\u308b\uff1a\u7d44\u5408\u305b\u306e\u554f\u984c\u304c\u71b1\u529b\u5b66\u3001\u7279\u306b\u7269\u7406\u7cfb\u306e\u7d44\u7e54\u5316\u306b\u304a\u3044\u3066\u3069\u306e\u3088\u3046\u306b\u5fdc\u7528\u3055\u308c\u308b\u304b\u3002 \u8a08\u7b97\u3059\u308b\uff1a\u7d44\u5408\u305b\u6570\u3092\u7528\u3044\u3066\u539f\u5b50\u7cfb\u306e\u53ef\u80fd\u306a\u914d\u7f6e\u3092\u6c42\u3081\u308b\u3002 \u9069\u7528\u3059\u308b\uff1a\u30b9\u30bf\u30fc\u30ea\u30f3\u30b0\u306e\u516c\u5f0f\u3092\u7528\u3044\u3066\u8907\u96d1\u306a\u914d\u7f6e\u306e\u30aa\u30fc\u30c0\u30fc\u3092\u63a8\u5b9a\u3059\u308b\u3002 \u5185\u5bb9\u76ee\u6b21: \u7d44\u5408\u305b\u306e\u554f\u984c \u5927\u304d\u306a\u6570\u306b\u95a2\u3059\u308b\u554f\u984c \u5bfe\u6570\u3068\u30b9\u30bf\u30fc\u30ea\u30f3\u30b0\u306e\u516c\u5f0f\u3092\u7528\u3044\u305f\u30aa\u30fc\u30c0\u30fc\u8a08\u7b97 \u7c21\u7565\u5316\u8fd1\u4f3c\u306b\u3088\u308b\u5c55\u958b \u901a\u5e38\u306e\u8fd1\u4f3c\u306b\u3088\u308b\u5c55\u958b \u7d44\u5408\u305b\u304a\u3088\u3073\u30aa\u30fc\u30c0\u30fc\u8a08\u7b97\u306e\u4f8b \u30b1\u30fc\u30b91: \u5927\u304d\u306a\u968e\u4e57 \u30b1\u30fc\u30b92: \u5927\u304d\u306a\u7d44\u5408\u305b \u7279\u5b9a\u306e\u7269\u7406\u7684\u72b6\u6cc1\u306b\u304a\u3044\u3066\u3088\u304f\u3042\u308b\u554f\u3044\u306f\u3001\u300c\u4e0e\u3048\u3089\u308c\u305f\u7cfb\u3092\u7570\u306a\u308b\u65b9\u6cd5\u3067\u3044\u304f\u3064\u7d44\u7e54\u5316\u3067\u304d\u308b\u304b\u300d\u3068\u3044\u3046\u3082\u306e\u3067\u3059\u3002\u3053\u308c\u3089\u306e\u7d44\u5408\u305b\u7684\u554f\u984c\u306f\u71b1\u529b\u5b66\u3067\u983b\u7e41\u306b\u73fe\u308c\u307e\u3059\u3002\u6700\u521d\u306f\u5358\u7d14\u306b\u898b\u3048\u308b\u3082\u306e\u306e\u3001\u30a2\u30dc\u30ac\u30c9\u30ed\u6570 \u306e\u3088\u3046\u306a\u6975\u3081\u3066\u5927\u304d\u306a\u6570\u3092\u53d6\u308a\u5165\u308c\u308b\u3068\u8907\u96d1\u5316\u3057\u3001\u3053\u306e\u898f\u6a21\u306e\u5927\u304d\u3055\u306b\u5727\u5012\u3055\u308c\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002 \u7d44\u5408\u305b\u306e\u554f\u984c \u71b1\u529b\u5b66\u306b\u304a\u3044\u3066\u7d44\u5408\u305b\u3092\u542b\u3080\u554f\u984c\u306e\u898f\u6a21\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u3001\u6b21\u306e\u4f8b\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002 \u4f8b: \u30a8\u30cd\u30eb\u30ae\u30fc\u91cf\u5b50\u306b\u95a2\u3059\u308b\u7d44\u5408\u305b 10\u500b\u306e\u539f\u5b50\u304b\u3089\u6210\u308b\u7cfb\u3092\u4eee\u5b9a\u3057\u307e\u3059\u3002\u5404\u539f\u5b50\u306f\u30a8\u30cd\u30eb\u30ae\u30fc\u91cf\u5b50\u3068\u547c\u3070\u308c\u308b1\u5358\u4f4d\u307e\u305f\u306f0\u5358\u4f4d\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u307f\u3092\u4fdd\u6301\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u3068\u304d\u3001(a) 10\u500b\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u91cf\u5b50\u3001(b) 5\u500b\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u91cf\u5b50\u3092\u6301\u3064\u5834\u5408\u3001\u305d\u308c\u3089\u3092\u7570\u306a\u308b\u65b9\u6cd5\u3067\u5206\u914d\u3059\u308b\u65b9\u6cd5\u306f\u3044\u304f\u3064\u5b58\u5728\u3059\u308b\u3067\u3057\u3087\u3046\u304b\u3002 \u89e3\u7b54 \u539f\u5b50\u3092\u30a8\u30cd\u30eb\u30ae\u30fc\u91cf\u5b50\u3092\u4fdd\u6301\u3067\u304d\u308b\u7a7a\u304d\u30b9\u30da\u30fc\u30b9\u3068\u3057\u3066\u8868\u3057\u307e\u3059\u3002\u3082\u3057\u305d\u306e\u30b9\u30da\u30fc\u30b9\u304c\u57cb\u307e\u3063\u3066\u3044\u308c\u3070\u3001\u305d\u306e\u539f\u5b50\u306f\u3059\u3067\u306b\u30a8\u30cd\u30eb\u30ae\u30fc\u91cf\u5b50\u3092\u4fdd\u6301\u3057\u3066\u3044\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002 \u500b\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u91cf\u5b50\u304c \u500b\u306e\u30b9\u30da\u30fc\u30b9\u306b\u5206\u914d\u3055\u308c\u308b\u65b9\u6cd5\u306e\u6570\u3092\u6570\u3048\u308b\u305f\u3081\u306b\u3001\u7d44\u5408\u305b\u6570\u3092\u7528\u3044\u307e\u3059\u3002 \u3053\u306e\u8a08\u7b97\u306b\u3088\u308a\u3001\u53ef\u80fd\u306a\u72b6\u614b\u306e\u6570 \u304c\u5f97\u3089\u308c\u307e\u3059\u3002 (a) 10\u500b\u306e\u91cf\u5b50\u304c10\u500b\u306e\u30b9\u30da\u30fc\u30b9\u306b\u5206\u914d\u3055\u308c\u308b\u5834\u5408\u3001\u305d\u308c\u3092\u884c\u3046\u65b9\u6cd5\u306f1\u901a\u308a\u3057\u304b\u3042\u308a\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u3001 \u3068\u306a\u308a\u307e\u3059\u3002 (b) 5\u500b\u306e\u91cf\u5b50\u304c10\u500b\u306e\u30b9\u30da\u30fc\u30b9\u306b\u5206\u914d\u3055\u308c\u308b\u5834\u5408\u3001\u6b21\u306e\u8a08\u7b97\u3092\u884c\u3044\u307e\u3059\u3002 \u3057\u305f\u304c\u3063\u3066\u3001252\u901a\u308a\u306e\u69cb\u6210\u304c\u53ef\u80fd\u3067\u3059\u3002 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