{"id":484,"date":"2019-06-27T23:57:55","date_gmt":"2019-06-27T14:57:55","guid":{"rendered":"https:\/\/obenkyolab.com\/?p=484"},"modified":"2020-05-19T22:55:58","modified_gmt":"2020-05-19T13:55:58","slug":"%e3%80%90python%e3%80%91%e9%9a%8e%e4%b9%97%e3%81%a8%e9%a0%86%e5%88%97%e3%81%a8%e7%b5%84%e3%81%bf%e5%90%88%e3%82%8f%e3%81%9b","status":"publish","type":"post","link":"https:\/\/obenkyolab.com\/?p=484","title":{"rendered":"\u3010Python\u3011\u968e\u4e57\u3068\u9806\u5217\u3068\u7d44\u5408\u305b"},"content":{"rendered":"\n\n\n\n\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_80 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/obenkyolab.com\/?p=484\/#%E7%9B%AE%E7%9A%84\" >\u76ee\u7684<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/obenkyolab.com\/?p=484\/#%E9%9A%8E%E4%B9%97%E3%81%AE%E8%A8%88%E7%AE%97%E6%96%B9%E6%B3%95\" >\u968e\u4e57\u306e\u8a08\u7b97\u65b9\u6cd5<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/obenkyolab.com\/?p=484\/#%E9%A0%86%E5%88%97%E3%81%AE%E8%A8%88%E7%AE%97\" >\u9806\u5217\u306e\u8a08\u7b97<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/obenkyolab.com\/?p=484\/#%E7%B5%84%E5%90%88%E3%81%9B%E3%81%AE%E8%A8%88%E7%AE%97\" >\u7d44\u5408\u305b\u306e\u8a08\u7b97<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/obenkyolab.com\/?p=484\/#%E3%81%BE%E3%81%A8%E3%82%81\" >\u307e\u3068\u3081<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E7%9B%AE%E7%9A%84\"><\/span>\u76ee\u7684<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u7d71\u8a08\u7684\u306a\u30c7\u30fc\u30bf\u5206\u6790\u30a2\u30d7\u30ed\u30fc\u30c1\u306e\u4e2d\u306b\u306f\u78ba\u7387\u7684\u306a\u8003\u3048\u65b9\u3082\u591a\u304f\u4f7f\u308f\u308c\u307e\u3059\u3002\u4eca\u56de\u306f\u78ba\u7387\u7684\u306a\u624b\u6cd5\u3092\u7528\u3044\u308b\u969b\u306b\u5fc5\u8981\u3068\u306a\u308b\u57fa\u672c\u77e5\u8b58\u306b\u3064\u3044\u3066\u3001python\u306e\u30b3\u30fc\u30c9\u306e\u52c9\u5f37\u3082\u304b\u306d\u3066\u5b9f\u8df5\u3057\u3066\u307f\u305f\u3044\u3068\u601d\u3044\u307e\u3059\u3002\u5177\u4f53\u7684\u306b\u306f\u968e\u4e57\u3001\u9806\u5217\u3001\u7d44\u5408\u308f\u305b\u3067\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E9%9A%8E%E4%B9%97%E3%81%AE%E8%A8%88%E7%AE%97%E6%96%B9%E6%B3%95\"><\/span>\u968e\u4e57\u306e\u8a08\u7b97\u65b9\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p><strong>\u968e\u4e57<\/strong>\u3068\u306f\u3042\u308b\u5909\u6570\u306e\u4e26\u3073\u65b9\u304c\u4f55\u901a\u308a\u3042\u308b\u304b\u306e\u8a08\u7b97\u3067\u3059\u3002<br><br>\u4f8b\u3048\u3070A\u3055\u3093\u3001B\u3055\u3093\u3001C\u3055\u3093\u3001D\u3055\u3093\u3068\u3044\u3046\uff14\u4eba\u306e\u7d44\u304c\u3042\u3063\u305f\u5834\u5408\u306b\u3001\u3053\u306e\u4eba\u305f\u3061\u4e26\u3079\u65b9\u306e\u30d1\u30bf\u30fc\u30f3\u306f4\u00d73\u00d7\uff12\u00d71=24\u901a\u308a\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4e00\u822c\u5316\u3057\u305f\u5f0f\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3067\u3059\u3002<\/p>\n\n\n\n<p>$$n! = n(n-1)(n-2)(n-3)\u20264\\times3\\times2\\times1$$<\/p>\n\n\n\n<p>\u3053\u306e\\(n\\)\u306e\u8a08\u7b97\u304c\u968e\u4e57\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u308c\u3092python\u3067\u8a08\u7b97\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002math\u30e9\u30a4\u30d6\u30e9\u30ea\u306efactorial\u30e1\u30bd\u30c3\u30c9\u306e\u5f15\u6570\u306b\u5909\u6570\u306e\u6570\\(n\\)\u3092\u5165\u308c\u3066\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-syntaxhighlighter-code \"><pre class=\"brush: python; title: ; notranslate\" title=\"\">\n#math \u30e9\u30a4\u30d6\u30e9\u30ea\u306e\u8aad\u307f\u8fbc\u307f\nimport math\n\n# n=4 \u306e\u968e\u4e57\u3092\u8a08\u7b97\nmath.factorial(4) #24\n<\/pre><\/div>\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E9%A0%86%E5%88%97%E3%81%AE%E8%A8%88%E7%AE%97\"><\/span>\u9806\u5217\u306e\u8a08\u7b97<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u4eca\u5ea6\u306fA\u3055\u3093\u3001B\u3055\u3093\u3001C\u3055\u3093\u3001D\u3055\u3093\u306e\uff14\u4eba\u306e\u4e2d\u304b\u30892\u4eba\u3060\u3051\u9078\u3093\u3067\u4e26\u3073\u66ff\u3048\u308b\u3068\u3057\u305f\u6642\u306b\u4f55\u30d1\u30bf\u30fc\u30f3\u3042\u308b\u304b\u3092\u8a08\u7b97\u3057\u305f\u3044\u3068\u3057\u307e\u3059\u3002<br>\u3053\u306e\u8003\u3048\u65b9\u3092<strong>\u9806\u5217<\/strong>\u3068\u547c\u3073\u307e\u3059<br>\u307e\u305a\u3001\u6700\u521d\u306b\u3069\u306e\u4eba\u3092\u9078\u3076\u304b\u30674\u30d1\u30bf\u30fc\u30f3\u3042\u308a\u307e\u3059\u3002\u6b21\u306b\u6b8b\u3063\u305f\uff13\u4eba\u304b\u3089\u8ab0\u3092\u9078\u3076\u304b\u30673\u30d1\u30bf\u30fc\u30f3\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u6642\u70b9\u3067\\(4\\times3\\)\u30d1\u30bf\u30fc\u30f3\u3042\u308a\u307e\u3059\u3002<br>\u305d\u3057\u3066\u3001\u9078\u3093\u3060\u4e8c\u4eba\u306e\u4e26\u3073\u66ff\u3048\u3067\u3069\u3061\u3089\u304c\u5148\u306b\u304f\u308b\u304b\u3001\u30672\u30d1\u30bf\u30fc\u30f3\u3042\u308a\u307e\u3059\u3002\u3088\u3063\u3066\\(4\\times3\\times2\\times\\)\u306724\u30d1\u30bf\u30fc\u30f3\u3042\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u3068\u304d\u3001\u6700\u521d\u306b\u3069\u306e\u4eba\u3092\u9078\u3076\u304b\u30674\u30d1\u30bf\u30fc\u30f3\u3042\u308a\u307e\u3059\u3002\u6b21\u306b\u6b8b\u3063\u305f\uff13\u4eba\u304b\u3089\u3060\u308c\u3092\u9078\u3076\u304b\u30673\u30d1\u30bf\u30fc\u30f3\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u6642\u70b9\u3067\\(4\\times3\\)\u30d1\u30bf\u30fc\u30f3\u3042\u308a\u307e\u3059\u3002<br>\u305d\u3057\u3066\u3001\u9078\u3093\u3060\u4e8c\u4eba\u306e\u4e26\u3073\u66ff\u3048\u3067\u3069\u3061\u3089\u304c\u5148\u306b\u304f\u308b\u304b\u3001\u30672\u30d1\u30bf\u30fc\u30f3\u3042\u308a\u307e\u3059\u3002\u3088\u3063\u3066\\(4\\times3\\times2\\times\\)\u306724\u30d1\u30bf\u30fc\u30f3\u3042\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u305f\u3060\u3057\u3001\u3053\u306e\u5834\u5408\u306f\u5148\u306bA\u3055\u3093\u3092\u9078\u3093\u3067\u304b\u3089B\u3055\u3093\u3092\u9078\u3093\u3067\u4e26\u3079\u305f\u5834\u5408\u3068\u3001\u5148\u306bB\u3055\u3093\u3092\u9078\u3093\u3067\u304b\u3089A\u3055\u3093\u3092\u9078\u3093\u3067\u4e26\u3079\u305f\u5834\u5408\u3067\u540c\u3058\u4e26\u3073\u304c\u51fa\u3066\u304d\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u91cd\u8907\u3057\u305f\u5206\u306e2\u3067\u5272\u3063\u3066\u3084\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<br>\u3088\u3063\u3066\u3001\u7d50\u5c40\u306f\\(24 \\div2=12\\)\u306712\u901a\u308a\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4eba\u6570\u3092\\(n\\)\u4eba\u3001\u9078\u3076\u4eba\u3092\\(r\\)\u4eba\u3068\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u4e00\u822c\u5316\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$ {}_n P_r= n(n-1)(n-2)\u2026(n-r+1)=\\frac{n!}{(n-r)}$$<\/p>\n\n\n\n<p> \\({}_n P_r\\) \u306e\u8a08\u7b97\u3092\u9806\u5217\u3068\u547c\u3073\u307e\u3059\u3002<\/p>\n\n\n\n<p>python\u3067\u306f\u4e0a\u8ff0\u306efactorial\u30e1\u30bd\u30c3\u30c9\u3092\u4f7f\u3063\u305f \u30b3\u30fc\u30c9\u3067\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<br>\\(n\\)\u304c\u7dcf\u4eba\u6570\u3001\\(r\\)\u304c\u9078\u3076\u4eba\u6570\u3067\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-syntaxhighlighter-code \"><pre class=\"brush: python; title: ; notranslate\" title=\"\">\nimport math\n\nn=4\nr=2\n\n# n!\/(n-r)\nP = (math.factorial(n))\/math.factorial((n-r))\n\nprint(P) #12\n<\/pre><\/div>\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E7%B5%84%E5%90%88%E3%81%9B%E3%81%AE%E8%A8%88%E7%AE%97\"><\/span>\u7d44\u5408\u305b\u306e\u8a08\u7b97<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u9806\u5217\u306e\u8a08\u7b97\u3067\u306f4\u4eba\u304b\u30892\u4eba\u3092\u9078\u3093\u3067\u4e26\u3073\u66ff\u3048\u3092\u884c\u3044\u307e\u3057\u305f\u304c\u3001<strong>\u7d44\u5408\u305b<\/strong>\u306f\u9078\u3093\u3060\uff12\u4eba\u306e\u4e26\u3073\u65b9\u306f\u554f\u308f\u306a\u3044\u5834\u5408\u306b\u4f55\u901a\u308a\u3042\u308b\u304b\u3001\u3068\u3044\u3046\u8003\u3048\u65b9\u3067\u3059\u3002\u4f8b\u3048\u3070A\u3055\u3093\u3001B\u3055\u3093\u3001C\u3055\u3093\u3001D\u3055\u3093\u306e4\u4eba\u304b\u3089A\u3055\u3093\u3001B\u3055\u3093\u3092\u9078\u3093\u3060\u3068\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u6642\u3001\u9806\u5217\u306e\u8a08\u7b97\u306e\u5834\u5408\u306fAB\u3068\u3044\u3046\u4e26\u3073\u3068BA\u3068\u3044\u3046\u4e26\u3073\u3092\u533a\u5225\u3057\u3001\uff12\u901a\u308a\u3068\u30ab\u30a6\u30f3\u30c8\u3057\u307e\u3057\u305f\u304c\u3001\u7d44\u5408\u305b\u306fAB\u3068BA\u306f\u540c\u4e00\u3068\u307f\u306a\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3088\u3063\u3066\u9806\u5217\u306e\u8a08\u7b97\u7d50\u679c\u304b\u3089\u3055\u3089\u306b\u91cd\u8907\u3092\u524a\u9664\u3059\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u3088\u3063\u3066\u30014\u4eba\u304b\u30892\u4eba\u3092\u9078\u3076\u7d44\u5408\u305b\u306f\u9806\u5217\u306e\u8a08\u7b97\u7d50\u679c\u306e\\(12\\)\u3092\u91cd\u8907\u6570\u306e2\u3067\u5272\u308a\u307e\u3059\u306e\u3067\u3001\\(12\\div2=\\)\u30676\u901a\u308a\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4e00\u822c\u5316\u3092\u8003\u3048\u305f\u5834\u5408\u3001\\(n\\)\u4eba\u304b\u3089\\(r\\)\u4efb\u3092\u53d6\u308a\u51fa\u3057\u305f\u969b\u306e\u9806\u5217\u8a08\u7b97\u304b\u3089\u306e\u91cd\u8907\u5206\u306f\\(r!\\)\u3068\u306a\u308a\u307e\u3059\u3002\u3088\u3063\u3066\u4ee5\u4e0b\u306e\u5f0f\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>$${}_nC_r = \\frac{n!}{r!(n-r)!}$$<\/p>\n\n\n\n<p>\u3053\u306e \\({}_nC_r\\)\u306e\u8a08\u7b97\u304c\u7d44\u5408\u305b\u3067\u3059\u3002<\/p>\n\n\n\n<p>python\u3067\u8a18\u8ff0\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-syntaxhighlighter-code \"><pre class=\"brush: python; title: ; notranslate\" title=\"\">\nimport math\n\nn = 4\nr = 2\n\n# n!\/(n-r)!\nC = (math.factorial(n))\/(math.factorial(r)*math.factorial((n-r)))\n\nprint(C) #6\n<\/pre><\/div>\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E3%81%BE%E3%81%A8%E3%82%81\"><\/span>\u307e\u3068\u3081<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>math.factorial()\u304c\u4f7f\u3048\u308c\u3070\u968e\u4e57\u3068\u9806\u5217\u3068\u7d44\u5408\u305b\u306f\u975e\u5e38\u306b\u7c21\u5358\u306b\u8a08\u7b97\u3067\u304d\u3066\u3057\u307e\u3044\u307e\u3059\u3002\u305f\u3060\u3001\u3084\u306f\u308a\u8003\u3048\u65b9\u3084\u5f0f\u306f\u304d\u3063\u3061\u308a\u7406\u89e3\u3057\u305f\u4e0a\u3067\u4f7f\u3044\u305f\u3044\u306a\u3041\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u76ee\u7684 \u7d71\u8a08\u7684\u306a\u30c7\u30fc\u30bf\u5206\u6790\u30a2\u30d7\u30ed\u30fc\u30c1\u306e\u4e2d\u306b\u306f\u78ba\u7387\u7684\u306a\u8003\u3048\u65b9\u3082\u591a\u304f\u4f7f\u308f\u308c&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":1218,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_locale":"ja","_original_post":"https:\/\/obenkyolab.com\/?p=484","footnotes":""},"categories":[7],"tags":[],"class_list":["post-484","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-python","ja"],"_links":{"self":[{"href":"https:\/\/obenkyolab.com\/index.php?rest_route=\/wp\/v2\/posts\/484","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/obenkyolab.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/obenkyolab.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/obenkyolab.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/obenkyolab.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=484"}],"version-history":[{"count":29,"href":"https:\/\/obenkyolab.com\/index.php?rest_route=\/wp\/v2\/posts\/484\/revisions"}],"predecessor-version":[{"id":644,"href":"https:\/\/obenkyolab.com\/index.php?rest_route=\/wp\/v2\/posts\/484\/revisions\/644"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/obenkyolab.com\/index.php?rest_route=\/wp\/v2\/media\/1218"}],"wp:attachment":[{"href":"https:\/\/obenkyolab.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=484"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/obenkyolab.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=484"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/obenkyolab.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=484"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}