{"id":2649,"date":"2025-08-10T14:00:00","date_gmt":"2025-08-10T05:00:00","guid":{"rendered":"https:\/\/math-friend.com\/?p=2649"},"modified":"2025-08-13T01:27:19","modified_gmt":"2025-08-12T16:27:19","slug":"%e3%80%90%e5%ba%83%e5%b3%b6%e5%a4%a7%e5%ad%a6%e3%80%91%e7%a2%ba%e7%8e%872023","status":"publish","type":"post","link":"https:\/\/math-friend.com\/?p=2649","title":{"rendered":"\u3010\u5e83\u5cf6\u5927\u5b66\u5165\u8a66\u30114\u56de\u306e\u72ec\u7acb\u8a66\u884c\u3067\u751f\u3058\u308b\u756a\u53f7\u306e\u91cd\u8907\u30d1\u30bf\u30fc\u30f3\u306e\u78ba\u7387(2023)"},"content":{"rendered":"\n<p>\u4eca\u56de\u306f\u3053\u3061\u3089\u306e\u554f\u984c\u3092\u89e3\u3044\u3066\u3044\u304d\u307e\u3059.<\/p>\n\n\n\n<p class=\"has-border -border02\">\\(N\\)\u3092\\(4\\)\u4ee5\u4e0a\u306e\u6574\u6570\u3068\u3059\u308b. 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\u6b8b\u308a\u4e00\u3064\u304c\u4ed6\u3068\u7570\u306a\u308b\u756a\u53f7\u3067\u3042\u308b\u78ba\u7387\u3092\u6c42\u3081\u3088.<br>(4) \\(X\\), \\(Y\\), \\(Z\\), \\(W\\)\u304c\u4e09\u3064\u306e\u7570\u306a\u308b\u756a\u53f7\u304b\u3089\u306a\u308b\u78ba\u7387\u3092\u6c42\u3081\u3088.<br><span style=\"text-align:right;display:block;\">(2023 \u5e83\u5cf6\u5927\u5b66 \u6587\u7cfb [1])<\/span><\/p>\n\n\n\n<p>\u305d\u308c\u3067\u306f\u89e3\u3044\u3066\u3044\u304d\u307e\u3057\u3087\u3046.<\/p>\n\n\n\n<div class=\"wp-block-group is-style-crease\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u307e\u305a\u524d\u63d0\u3068\u3057\u3066, \u51684\u56de\u306e\u8a66\u884c\u3067\u30ab\u30fc\u30c9\u306e\u53d6\u308a\u51fa\u3057\u65b9\u306f\\(N^4\\)\u901a\u308a\u3042\u308b. \u307e\u305f, \u7bb1\u306e\u4e2d\u306e\u5404\u756a\u53f7\u306e\u30ab\u30fc\u30c9\u306f\u3044\u305a\u308c\u3082\\(1\\)\u679a\u305a\u3064\u3067\u3042\u308b\u304b\u3089, \u3053\u306e\\(N^4\\)\u901a\u308a\u306e\u53d6\u308a\u51fa\u3057\u65b9\u306f, \u540c\u69d8\u306b\u78ba\u304b\u3089\u3057\u3044\u3053\u3068\u304c\u308f\u304b\u308b. \u3088\u3063\u3066, (1)\u301c(4)\u3067\u6c42\u3081\u308b\u5404\u78ba\u7387\u306f, \u305d\u306e\u6761\u4ef6\u3092\u6e80\u305f\u3059\u5834\u5408\u306e\u6570\u3092\u6c42\u3081\u3066, \u305d\u308c\u3092\\(N^4\\)\u3067\u5272\u3063\u305f\u3082\u306e\u306b\u306a\u308b\u3053\u3068\u306b\u306a\u308b.<\/p>\n\n\n\n<p>(1)  \u53d6\u308a\u51fa\u3055\u308c\u308b\u30ab\u30fc\u30c9\u306e\u756a\u53f7\u306e\u9078\u3073\u65b9\u304c\\(N\\)\u901a\u308a\u3042\u308b\u306e\u3067, \u6c42\u3081\u308b\u78ba\u7387\u306f,$$<br>\\frac{N}{N^4}=\\frac{1}{N^3}<br>$$\u3068\u306a\u308b.<\/p>\n\n\n\n<p>(2) 4\u3064\u306e\u7570\u306a\u308b\u756a\u53f7\u306e\u9078\u3073\u65b9\u304c\\({}_NC_4\\)\u901a\u308a, \u305d\u306e\u5404\u3005\u306b\u5bfe\u3057\u3066, \u5404\u5909\u6570\u3078\u306e\u756a\u53f7\u306e\u5272\u308a\u632f\u308a\u304c\\(4!\\)\u901a\u308a\u3042\u308b\u306e\u3067, \u6c42\u3081\u308b\u78ba\u7387\u306f, $$<br>\\frac{{}_NC_4\\times 4!}{N^4}=\\frac{(N-1)(N-2)(N-3)}{N^3}<br>$$\u3068\u306a\u308b.<\/p>\n\n\n\n<p>(3) \\(X\\), \\(Y\\), \\(Z\\), \\(W\\)\u306e\u3046\u3061, \u540c\u3058\u756a\u53f7\u3068\u306a\u308b3\u3064\u306e\u5909\u6570\u306e\u9078\u3073\u65b9\u304c, \\({}_4C_3\\)\u901a\u308a, \u305d\u306e\u5404\u3005\u306b\u5bfe\u3057\u3066, \u756a\u53f7\u304c\u91cd\u8907\u3059\u308b3\u3064\u306e\u5909\u6570\u3068, \u6b8b\u308a\u306e\u5909\u6570\u3078\u306e\u756a\u53f7\u306e\u5272\u308a\u632f\u308a\u65b9\u304c\\({}_NP_2\\)\u901a\u308a\u3042\u308b\u306e\u3067, \u6c42\u3081\u308b\u78ba\u7387\u306f,$$<br>\\frac{{}_4C_3\\times {}_NP_2}{N^4}=\\frac{4(N-1)}{N^3}<br>$$<\/p>\n\n\n\n<p>(4) \\(X\\), \\(Y\\), \\(Z\\), \\(W\\)\u306e\u3046\u3061\u3069\u308c\u304b2\u3064\u306e\u5909\u6570\u306f\u756a\u53f7\u304c\u91cd\u8907\u3057, \u6b8b\u308a2\u3064\u306e\u5909\u6570\u306f\u4ed6\u306e\u30ab\u30fc\u30c9\u3068\u756a\u53f7\u304c\u91cd\u8907\u3057\u306a\u3044\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066, \u91cd\u8907\u3059\u308b2\u3064\u306e\u5909\u6570\u306e\u9078\u3073\u65b9\u304c\\({}_4C_2\\)\u901a\u308a, \u305d\u306e\u5404\u3005\u306b\u5bfe\u3057\u3066, \u756a\u53f7\u304c\u91cd\u8907\u3059\u308b2\u3064\u306e\u5909\u6570\u3068, \u6b8b\u308a\u306e2\u3064\u306e\u5909\u6570\u3078\u306e\u756a\u53f7\u306e\u5272\u308a\u632f\u308a\u65b9\u304c\\({}_NP_3\\)\u901a\u308a\u3042\u308b\u306e\u3067, \u6c42\u3081\u308b\u78ba\u7387\u306f,$$<br>\\frac{{}_4C_2\\times {}_NP_3}{N^4}=\\frac{6(N-1)(N-2)}{N^3}<br>$$\u3068\u306a\u308b.<\/p>\n<\/div><\/div>\n\n\n\n<p>youtube\u3067\u3082\u89e3\u8aac\u3057\u3066\u3044\u307e\u3059.<\/p>\n\n\n\n<iframe width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/ozF7KJ9s2a0?si=N75J_nh4INaMY0at\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; 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