{"id":2394,"date":"2024-05-03T22:30:03","date_gmt":"2024-05-03T22:30:03","guid":{"rendered":"https:\/\/science-hub.click\/%E9%85%8D%E7%BD%AE%28%E6%95%B0%E5%AD%A6%29%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC\/"},"modified":"2024-05-03T22:30:03","modified_gmt":"2024-05-03T22:30:03","slug":"%E9%85%8D%E7%BD%AE%28%E6%95%B0%E5%AD%A6%29%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=2394","title":{"rendered":"\u914d\u7f6e (\u6570\u5b66)\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac"},"content":{"rendered":"<div><div><p><strong>\u914d\u7f6e<\/strong>\u306e\u6982\u5ff5\u306f\u78ba\u7387\u3001\u7279\u306b\u7d44\u307f\u5408\u308f\u305b\u5206\u6790\u306b\u304a\u3051\u308b\u8a08\u6570\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/p><p> <i>n<\/i>\u500b\u306e\u8981\u7d20\u3067\u69cb\u6210\u3055\u308c\u308b\u30bb\u30c3\u30c8\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002 <i>k \u500b<\/i>\u306e\u8981\u7d20 ( <span><i>k<\/i> &lt; <i>n<\/i><\/span> ) \u3092\u53d6\u308a\u3001\u7e70\u308a\u8fd4\u3057\u306e\u53ef\u80fd\u6027\u306e\u306a\u3044<strong>\u9806\u5e8f\u4ed8\u304d<\/strong>\u30ea\u30b9\u30c8\u3092\u69cb\u6210\u3057\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u8981\u7d20\u306e\u9806\u5e8f\u304c\u8003\u616e\u3055\u308c\u307e\u3059 (\u30ea\u30b9\u30c8\u306e 2 \u3064\u306e\u8981\u7d20\u3092\u4e26\u3079\u66ff\u3048\u308b\u3068\u3001<span><a href=\"https:\/\/science-hub.click\/?p=28052\">\u5225\u306e<\/a><\/span>\u30ea\u30b9\u30c8\u304c\u5f97\u3089\u308c\u307e\u3059)\u3002\u8981\u7d20\u306f 1 \u56de\u3060\u3051\u5b58\u5728\u3067\u304d\u307e\u3059)\u3002\u3053\u306e\u3088\u3046\u306a\u9806\u5e8f\u4ed8\u304d\u30ea\u30b9\u30c8\u3092\u300c<strong><span><a href=\"https:\/\/science-hub.click\/?p=20024\">\u914d\u5217\u300d<\/a><\/span><\/strong>\u3068\u547c\u3073\u307e\u3059\u3002\u4f5c\u6210\u3067\u304d\u308b\u624b\u914d\u306e<span><a href=\"https:\/\/science-hub.click\/?p=71097\">\u6570<\/a><\/span>\u304c\u8a18\u8f09\u3055\u308c\u3066\u3044\u307e\u3059<div class=\"math-formual notranslate\">$$ {A^k_n} $$<\/div>\u305d\u3057\u3066\u4fa1\u5024\u304c\u3042\u308a\u307e\u3059: <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {A^k_n = n (n-1)(n-2) &#8230; (n-k+1)} $$<\/div><\/dd><\/dl><p>\u6700\u521d\u306e\u8981\u7d20\u306f<i>n<\/i>\u304b\u3089\u9078\u629e\u3055\u308c\u30012 \u756a\u76ee\u306e\u8981\u7d20\u306f ( <i>n<\/i> -1) &#8230; \u304b\u3089\u9078\u629e\u3055\u308c\u3001\u6700\u5f8c\u306e\u8981\u7d20\u306f ( <i>n<\/i> &#8211; <i>k<\/i> +1) \u304b\u3089\u9078\u629e\u3055\u308c\u308b\u305f\u3081\u3001\u3053\u306e\u5f0f\u306f<i>\u9023\u7d9a\u3057\u305f\u9078\u629e\u306e\u30c4\u30ea\u30fc<\/i>\u3092\u4f7f\u7528\u3057\u3066\u7406\u89e3\u3067\u304d\u307e\u3059\u3002<span><a href=\"https:\/\/science-hub.click\/?p=6390\">\u968e\u4e57<\/a><\/span>\u8868\u8a18\u3067\u306f\u3001 <i>n<\/i> ! = 1\u00d72\u00d7&#8230; <i>n<\/i> \u3001\u3053\u306e\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {A^k_n = \\frac{n!}{(n-k)!}} $$<\/div><\/dd><\/dl><p>\u5b9f\u969b\u3001 <i>A <sup>k<\/sup> <sub>n \u306f<\/sub><\/i>\u3001 <i>k<\/i>\u500b\u306e\u8981\u7d20\u3092\u542b\u3080<span><a href=\"https:\/\/science-hub.click\/?p=57227\">\u30bb\u30c3\u30c8<\/a><\/span>\u304b\u3089<i>n \u500b<\/i>\u306e\u8981\u7d20\u3092\u542b\u3080\u30bb\u30c3\u30c8\u306b\u5b9f\u884c\u3067\u304d\u308b\u6ce8\u5165\u306e\u6570\u3067\u3059\u3002\u914d\u7f6e\u306e\u6570\u306f<span><a href=\"https:\/\/science-hub.click\/?p=101995\">\u4e8c\u9805\u4fc2\u6570<\/a><\/span>\u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u307e\u3059<div class=\"math-formual notranslate\">$$ {{n \\choose k}} $$<\/div> (\u4ee5\u524d\u306f<div class=\"math-formual notranslate\">$$ {C^k_n} $$<\/div> \uff09 \u306b\u3088\u308b \uff1a <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {{n \\choose k} = \\frac{A^k_n}{k!}} $$<\/div><\/dd><\/dl><p>\u30a2\u30ec\u30f3\u30b8\u4f8b\uff1a<\/p><ul><li>\u5358\u8a9e\u306e\u7e70\u308a\u8fd4\u3057\u306e\u306a\u3044\u6587\u306f\u8f9e\u66f8\u306e\u914d\u5217\u3067\u3059\u3002<\/li><li>\u5354\u4f1a\u306f\u5354\u4f1a\u306e\u4f1a\u54e1\u304b\u3089\u305d\u306e\u4e8b\u52d9\u5c40\uff08\u4f1a\u9577\u3001\u4f1a\u8a08\u3001\u66f8\u8a18\uff09\u3092\u69cb\u6210\u3057\u307e\u3059\u3002\u4e8b\u52d9\u5c40\u306f\u5354\u4f1a\u306e\u53d6\u308a\u6c7a\u3081\u306b\u3088\u308b\u3082\u306e\u3067\u3059\u3002<\/li><li><span>\u30ec\u30fc\u30b9<\/span>\u306e\u8868\u5f70\u53f0\u306f\u3001\u53c2\u52a0\u8005\u5168\u54e1\u306e\u914d\u7f6e\u3067\u3059\u3002<\/li><\/ul><\/div><h2 class=\"ref_link\">\u53c2\u8003\u8cc7\u6599<\/h2><ol><li><a class=\"notranslate\" href=\"https:\/\/az.wikipedia.org\/wiki\/Aranjeman\">Aranjeman \u2013 azerba\u00efdjanais<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/be.wikipedia.org\/wiki\/%D0%A0%D0%B0%D0%B7%D0%BC%D1%8F%D1%88%D1%87%D1%8D%D0%BD%D0%BD%D0%B5_(%D0%BC%D0%B0%D1%82%D1%8D%D0%BC%D0%B0%D1%82%D1%8B%D0%BA%D0%B0)\">\u0420\u0430\u0437\u043c\u044f\u0448\u0447\u044d\u043d\u043d\u0435 (\u043c\u0430\u0442\u044d\u043c\u0430\u0442\u044b\u043a\u0430) \u2013 bi\u00e9lorusse<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/cs.wikipedia.org\/wiki\/Variace_(kombinatorika)\">Variace (kombinatorika) \u2013 tch\u00e8que<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/cv.wikipedia.org\/wiki\/%D0%92%D1%8B%D1%80%D0%BD%D0%B0%C3%A7%D1%83\">\u0412\u044b\u0440\u043d\u0430\u00e7\u0443 \u2013 tchouvache<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/de.wikipedia.org\/wiki\/Variation_(Kombinatorik)\">Variation (Kombinatorik) \u2013 allemand<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/en.wikipedia.org\/wiki\/Partial_permutation\">Partial permutation \u2013 anglais<\/a><\/li><\/ol><\/div>\n<div class=\"feature-video\">\n <h2>\n  \u914d\u7f6e (\u6570\u5b66)\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n <div class=\"video-item\">\n  \n  <figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\">\n   <div class=\"wp-block-embed__wrapper\">\n    <iframe loading=\"lazy\" title=\"\u89e3\u306e\u914d\u7f6e\u306e\u57fa\u672c\u3010\u6570\u2160 \uff12\u6b21\u95a2\u6570\u3011\u73fe\u5927\u624b\u4e88\u5099\u6821\u8b1b\u5e2b\u306e\uff15\u5206\u3067\u308f\u304b\u308b\uff01\u9ad8\u6821\u6570\u5b66\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/g2PfOuxhutU?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n   <\/div>\n  <\/figure>\n  \n <\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u914d\u7f6e\u306e\u6982\u5ff5\u306f\u78ba\u7387\u3001\u7279\u306b\u7d44\u307f\u5408\u308f\u305b\u5206\u6790\u306b\u304a\u3051\u308b\u8a08\u6570\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002 n\u500b\u306e\u8981\u7d20\u3067\u69cb\u6210\u3055\u308c\u308b\u30bb\u30c3\u30c8\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002 k \u500b\u306e\u8981\u7d20 ( k &lt; n ) \u3092\u53d6\u308a\u3001\u7e70\u308a\u8fd4\u3057\u306e\u53ef\u80fd\u6027\u306e\u306a\u3044\u9806\u5e8f\u4ed8\u304d\u30ea\u30b9\u30c8\u3092\u69cb\u6210\u3057\u307e\u3059\u3002\u3064\u307e\u308a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":2395,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/tTnjprvENII\/0.jpg","fifu_image_alt":"\u914d\u7f6e (\u6570\u5b66)\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac","footnotes":""},"categories":[5],"tags":[2911,11,13,14,10,12,1013,16,15,2913],"class_list":["post-2394","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dictionary","tag-arrangement-mathematiques","tag-techniques","tag-technologie","tag-news","tag-actualite","tag-dossier","tag-mathematiques","tag-sciences","tag-article","tag-arrangement"],"_links":{"self":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/2394"}],"collection":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2394"}],"version-history":[{"count":0,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/2394\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/media\/2395"}],"wp:attachment":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2394"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2394"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2394"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}