{"id":1083,"date":"2025-12-24T17:20:36","date_gmt":"2025-12-24T08:20:36","guid":{"rendered":"https:\/\/math-travel.com\/?p=1083"},"modified":"2026-02-11T17:00:42","modified_gmt":"2026-02-11T08:00:42","slug":"permutation","status":"publish","type":"post","link":"https:\/\/math-travel.jp\/math-a\/permutation\/","title":{"rendered":"\u9806\u5217P\u306e\u516c\u5f0f\u3068\u8a08\u7b97\u65b9\u6cd5\uff01nPr\u306e\u610f\u5473\u30925\u5206\u3067\u7406\u89e3\u3059\u308b\u30b3\u30c4\u3068\u968e\u4e57\u306e\u4f7f\u3044\u65b9"},"content":{"rendered":"\n<div class=\"wp-block-group has-border -border02 is-style-bg_grid\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div id=\"kv\">\n        <p>\u7570\u306a\u308bn\u500b\u304b\u3089r\u500b\u3092\u4e26\u3079\u308b\u9806\u5217nPr\u3092\u7b97\u51fa\u3057\u307e\u3059\u3002<br>\n          n,r\u3092\u5165\u529b\u5f8c\u3001\u7b97\u51fa\u30dc\u30bf\u30f3\u30af\u30ea\u30c3\u30af\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n      <\/div>\n      <div class=\"input-conditions\">\n        <div class=\"number-item\">\n          <label>n:<\/label>\n          <input type=\"number\" name=\"a1\" class=\"a1\">\n          <span>\uff08n\u2267r>0\uff09<\/span>\n        <\/div>\n        <div class=\"number-item\">\n          <label>r:<\/label>\n          <input type=\"number\" name=\"a2\" class=\"a2\">\n        <\/div>\n      <\/div>\n      <div class=\"output\">\n        <p>\u9806\u5217 <span id=\"conditions-n\" class=\"font-mini\"><\/span>P<span id=\"conditions-r\" class=\"font-mini\"><\/span> = <span class=\"bold\"><span id=\"result\"><\/span><\/span> \u901a\u308a\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n      <\/div>\n      <div class=\"output-error\">\n        <p>\u5165\u529b\u6761\u4ef6\u3092\u6e80\u305f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\uff08n\u2267r>0\uff09<\/p>\n      <\/div>\n      <div class=\"btn\">\n        <input type=\"button\" value=\"\u7b97\u51fa\" id=\"cal-btn\">\n        <input type=\"button\" value=\"\u30ea\u30bb\u30c3\u30c8\" id=\"reset-btn\">\n      <\/div>\n<\/div><\/div>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-left\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi8-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u9ad8\u6821\u751f<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u8a08\u7b97\u306b\u56f0\u3063\u3066\u3044\u305f\u306e\u3067\u52a9\u304b\u308a\u307e\u3057\u305f\uff01<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<p>\u4eca\u56de\u306f\u9806\u5217\u306b\u95a2\u3059\u308b\u3053\u3093\u306a\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"is-style-bg_stripe\"><span class=\"huto\">\u300c\u9806\u5217\u306e\u516c\u5f0f\u3063\u3066\u306a\u3093\u3060\u3063\u3051\uff1f\u300d<\/span><br><span class=\"huto\">\u300c\u9806\u5217\u306e\u4f7f\u3044\u65b9\u304c\u3088\u304f\u5206\u304b\u3089\u306a\u3044\u300d<\/span><\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-left\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi5-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u9ad8\u6821\u751f<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u9806\u5217\u306e\u554f\u984c\u304c\u3059\u3054\u304f\u82e6\u624b\u306a\u3093\u3067\u3059\u3088\u2026<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<p>\u6570\u5b66A\u3067\u306f\u9806\u5217\u3084\u7d44\u307f\u5408\u308f\u305b\u3092\u7528\u3044\u3066\u4e8b\u8c61\u306e\u5834\u5408\u306e\u6570\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u9806\u5217P\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u554f\u984c\u3067\u6d3b\u7528\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"yellowbox\">\n<figure><img decoding=\"async\" class=\"aligncenter size-full wp-image-1111\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u7121\u984c-1.jpg\" alt=\"\uff14\u679a\u306e\u30ab\u30fc\u30c9\" width=\"311\" height=\"121\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u7121\u984c-1.jpg 311w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u7121\u984c-1-300x117.jpg 300w\" sizes=\"(max-width: 311px) 100vw, 311px\" \/><\/figure><p>4\u679a\u306e\u30ab\u30fc\u30c9\u300c1\u300d\u300c2\u300d\u300c3\u300d\u300c4\u300d\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e4\u679a\u306e\u30ab\u30fc\u30c9\u306e\u4e2d\u304b\u3089\uff13\u679a\u3092\u4f7f\u3063\u3066\u3001\uff13\u30b1\u30bf\u306e\u81ea\u7136\u6570\u3092\u4f5c\u308b\u3068\u304d\u3001\u5168\u90e8\u3067\u4f55\u901a\u308a\u306e\u6570\u5b57\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u304b\uff1f<\/p>\n<\/div>\n\n\n\n<p>\u3053\u3053\u3067\u4f7f\u3044\u305f\u3044\u306e\u304c<span class=\"huto\">\u9806\u5217<\/span>\u3068\u3044\u3046\u8003\u3048\u65b9\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u672c\u8a18\u4e8b\u3067\u306f\u3001<span class=\"red\">\u9806\u5217\u306e\u516c\u5f0f\u3068\u305d\u306e\u4f7f\u3044\u65b9\u30925\u5206\u3067\u30b5\u30af\u30c3\u3068\u89e3\u8aac<\/span>\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"koushiki\">\u9806\u5217\u306e\u516c\u5f0f<\/h2>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"581\" height=\"168\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u7121\u984c3.jpg\" alt=\"\u9806\u5217\u306e\u516c\u5f0f\" class=\"wp-image-1112\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u7121\u984c3.jpg 581w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u7121\u984c3-300x87.jpg 300w\" sizes=\"(max-width: 581px) 100vw, 581px\" \/><\/figure>\n<\/div>\n\n\n<p>\u307e\u305a<span class=\"huto\">\u9806\u5217\u306e\u5b9a\u7fa9<\/span>\u304b\u3089\u78ba\u8a8d\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u9806\u5217 <\/p>\n\n\n\n<p>\u7570\u306a\u308b\\(n\\)\u500b\u306e\u3082\u306e\u304b\u3089\u7570\u306a\u308b\\(r\\)\u500b\u3092\u53d6\u308a\u51fa\u3057\u3066\u4e26\u3079\u308b\u3068\u304d\u306e\u4e26\u3079\u65b9<\/p>\n<\/div><\/div>\n\n\n\n<p>&#8220;\u9806&#8221;\u756a\u306b&#8221;\u5217&#8221;\u306b\u3059\u308b\u304b\u3089<span class=\"huto\">\u9806\u5217<\/span>\u306a\u306e\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u9806\u5217\u306e\u7dcf\u6570\u3068\u306f\u3001<span class=\"red\">\u4e26\u3079\u65b9\u306e\u30d1\u30bf\u30fc\u30f3\u306e\u7dcf\u6570<\/span>\u3092\u6307\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u305d\u306e\u9806\u5217\u306e\u7dcf\u6570\u3092\\(_{n}P_{r}\\)\u3068\u8868\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"graybox\" style=\"overflow: auto;\"><span class=\"huto\">\u9806\u5217\u306e\u7dcf\u6570<\/span><br>\\[_{n}P_{r}=n(n-1)(n-2)&#8230;..(n-r+1)\\]<\/div>\n\n\n\n<p><span class=\"yellow-hoso\">\u30b9\u30bf\u30fc\u30c8\u306e\\(n\\)\u304b\u30891\u305a\u3064\u6570\u5b57\u3092\u4e0b\u3052\u3066\\(r\\)\u500b\u306e\u9805\u306e\u7a4d\u3092\u6c42\u3081\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<p>\u4f8b\u3048\u3070\\(_{6}P_{3}\\)\u306e\u5834\u5408<\/p>\n\n\n\n<p>\\[_{6}P_{3}=6\\times{5}\\times{4}=120\\]<\/p>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306bP\u306e\u5de6\u4e0b\u306e\u6570\u304b\u30891\u305a\u3064\u6570\u5b57\u3092\u4e0b\u3052\u3066\u3044\u304d\u3001P\u306e\u53f3\u5074\u306b\u3064\u3044\u3066\u3044\u308b\u500b\u6570\u306e\u9805\u306e\u7a4d\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-left\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi7-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u9ad8\u6821\u751f<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u306a\u3093\u3068\u306a\u304f\u308f\u304b\u3063\u305f\u6c17\u304c\u3059\u308b\u3088\uff01<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<p>\u6b21\u306b\u9806\u5217\u306e\u516c\u5f0f\u306e\u4f7f\u3044\u65b9\u3092\u89e3\u8aac\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"tukaikata\">\u9806\u5217\u306e\u4f7f\u3044\u65b9<\/h2>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"1401\" height=\"364\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u56f31.jpg\" alt=\"\u9806\u5217\u306e\u4f7f\u3044\u65b9\" class=\"wp-image-1110\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u56f31.jpg 1401w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u56f31-300x78.jpg 300w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u56f31-1024x266.jpg 1024w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u56f31-768x200.jpg 768w\" sizes=\"(max-width: 1401px) 100vw, 1401px\" \/><\/figure>\n<\/div>\n\n\n<p><br>\u9806\u5217\u306e\u516c\u5f0f\u3092\u78ba\u8a8d\u3057\u305f\u306e\u3067\u3001\u6b21\u306f<span class=\"yellow-hoso\">\u9806\u5217\u306e\u4f7f\u3044\u65b9\u3092\u89e3\u8aac<\/span>\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u5192\u982d\u306e\u554f\u984c\u3092\u601d\u3044\u51fa\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u3053\u3053\u306b4\u679a\u306e\u30ab\u30fc\u30c9\u300c1\u300d\u300c2\u300d\u300c3\u300d\u300c4\u300d\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p><img decoding=\"async\" width=\"311\" height=\"121\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u7121\u984c-1.jpg\" alt=\"\uff14\u679a\u306e\u30ab\u30fc\u30c9\"><\/p>\n\n\n\n<p>\u3053\u306e4\u679a\u306e\u30ab\u30fc\u30c9\u306e\u4e2d\u304b\u3089\uff13\u679a\u3092\u4f7f\u3063\u3066\u3001\uff13\u30b1\u30bf\u306e\u81ea\u7136\u6570\u3092\u4f5c\u308b\u3068\u304d\u3001\u5168\u90e8\u3067\u4f55\u901a\u308a\u306e\u6570\u5b57\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u304b\uff1f<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3053\u306e\u554f\u984c\u306e\u30dd\u30a4\u30f3\u30c8\u306f\u3001<span class=\"red\">\u300c3\u30b1\u30bf\u306e\u6570\u5b57\u3092\u4f5c\u308b\u300d\u3067\u306f\u306a\u304f\u300c\u5de6\u304b\u30893\u3064\u6570\u5b57\u3092\u4e26\u3079\u308b\u300d\u3068\u8003\u3048\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"629\" height=\"281\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/3\u30b1\u30bf\u306e\u6570.jpg\" alt=\"\uff13\u30b1\u30bf\u306e\u6570\u3092\u4e26\u3079\u308b\" class=\"wp-image-1116\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/3\u30b1\u30bf\u306e\u6570.jpg 629w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/3\u30b1\u30bf\u306e\u6570-300x134.jpg 300w\" sizes=\"(max-width: 629px) 100vw, 629px\" \/><\/figure>\n<\/div>\n\n\n<p>\u305d\u3046\u3059\u308b\u3068\u3001<span class=\"red\">4\u679a\u306e\u30ab\u30fc\u30c9\u306e\u4e2d\u304b\u30893\u679a\u3092\u53d6\u308a\u51fa\u3057\u3066\u4e26\u3079\u308b\u9806\u5217\u306e\u554f\u984c<\/span>\u3060\u3068\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3064\u307e\u308a\u3001\\(_{4}P_{3}\\)\u3092\u6c42\u3081\u308c\u3070\u3088\u3044\u308f\u3051\u3067\u3059\u3002<\/p>\n\n\n\n<p>\\(_{4}P_{3}=4\\times{3}\\times{2}=24\\)<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u30013\u30b1\u30bf\u306e\u6570\u5b57\u306e\u4f5c\u308a\u65b9\u306f24\u901a\u308a\u3060\u3068\u5206\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p><span class=\"huto\">\u3053\u306e\u3088\u3046\u306b\u3001\u3044\u304f\u3064\u304b\u306e\u3082\u306e\u3092\u4e26\u3079\u308b\u3068\u304d\u306e\u4e26\u3079\u65b9\u3092\u6c42\u3081\u308b\u3068\u304d\u306b\u9806\u5217\u306f\u4f7f\u308f\u308c\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"mondai\">\u9806\u5217\u306e\u516c\u5f0f\uff1c\u7df4\u7fd2\u554f\u984c\uff1e<\/h2>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"574\" height=\"151\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u7121\u984c.jpg\" alt=\"\u9806\u5217\u306e\u516c\u5f0f\uff1c\u7df4\u7fd2\u554f\u984c\uff1e\" class=\"wp-image-1109\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u7121\u984c.jpg 574w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u7121\u984c-300x79.jpg 300w\" sizes=\"(max-width: 574px) 100vw, 574px\" \/><\/figure>\n<\/div>\n\n\n<p>\u3053\u308c\u3067\u7d42\u308f\u3063\u3066\u3057\u307e\u3046\u3068\u307e\u3060\u4e0d\u5b89\u306a\u65b9\u3082\u3044\u308b\u3067\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<p>\u3082\u3046\u5c11\u3057\u9806\u5217\u306e\u8003\u3048\u3092\u4f7f\u3063\u3066\u7df4\u7fd2\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u7df4\u7fd2\u554f\u984c<\/span><\/div><div class=\"cap_box_content\">\n<ol class=\"wp-block-list\">\n<li>\uff17\u4eba\u304b\u30893\u4eba\u9078\u3093\u30671\u5217\u306b\u4e26\u3079\u308b\u3068\u304d\u3001\u4e26\u3079\u65b9\u306e\u7dcf\u6570\u3092\u6c42\u3081\u3088\u3002<\/li>\n\n\n\n<li>\uff11\uff10\u4eba\u306e\u751f\u5f92\u304b\u3089\u59d4\u54e1\u9577\u3001\u526f\u59d4\u54e1\u9577\u3001\u66f8\u8a18\u3092\u9078\u3076\u3068\u304d\u3001\u9078\u3073\u65b9\u306f\u4f55\u901a\u308a\u3042\u308a\u307e\u3059\u304b\u3002<\/li>\n<\/ol>\n<\/div><\/div>\n\n\n\n<p>\uff11\uff0e\u5148\u982d\u3001\u771f\u3093\u4e2d\u3001\u6700\u5f8c\u5c3e\u306e\uff13\u304b\u6240\u306b\uff13\u4eba\u3092\u4e26\u3079\u308c\u3070\u3088\u3044\u306e\u3067<\/p>\n\n\n\n<p>\\[_{7}P_{3}=7\\times{6}\\times{5}=210\\]<\/p>\n\n\n\n<p>A.210\u901a\u308a<\/p>\n\n\n\n<p>\uff12\uff0e\uff11\uff10\u4eba\u306e\u4e2d\u304b\u3089\u3001\u59d4\u54e1\u9577\u3001\u526f\u59d4\u54e1\u9577\u3001\u66f8\u8a18\u306e\uff13\u304b\u6240\u306b\uff13\u4eba\u3092\u4e26\u3079\u308b\u306e\u3067<\/p>\n\n\n\n<p>\\[_{10}P_{3}=10\\times{9}\\times{8}=720\\]<\/p>\n\n\n\n<p>A.720\u901a\u308a<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"matome\">\u9806\u5217\u306e\u516c\u5f0f\u3068\u4f7f\u3044\u65b9\u3000\u307e\u3068\u3081<\/h2>\n\n\n\n<p><span class=\"huto\">\u4eca\u56de\u306f\u6570\u5b66A\u306e\u9806\u5217P\u306e\u516c\u5f0f\u3068\u4f7f\u3044\u65b9\u306b\u3064\u3044\u3066\u307e\u3068\u3081\u307e\u3057\u305f\u3002<\/span><\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u9806\u5217<\/span><\/div><div class=\"cap_box_content\">\n<p>\u7570\u306a\u308b(n)\u500b\u306e\u3082\u306e\u304b\u3089\u7570\u306a\u308b(r)\u500b\u3092\u53d6\u308a\u51fa\u3057\u3066\u4e26\u3079\u308b\u3068\u304d\u306e\u4e26\u3079\u65b9<\/p>\n<\/div><\/div>\n\n\n\n<p>\u9806\u5217\u306f\u96e3\u3057\u3044\u3082\u306e\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n\n\n\n<p><span class=\"huto\">\u30ab\u30fc\u30c9\u3084\u6570\u5b57\u3092\u4e26\u3079\u3066\u3001\u305d\u306e\u9806\u756a\u306b\u3088\u3063\u3066\u7570\u306a\u308b\u30d1\u30bf\u30fc\u30f3\u306b\u306a\u308b\u306a\u3089\u9806\u5217\u306e\u554f\u984c\u3067\u3059\u3002<\/span><\/p>\n\n\n\n<p>\u9806\u5217\u3068\u7d44\u307f\u5408\u308f\u305b\u306e\u9055\u3044\u304c\u3088\u304f\u5206\u304b\u3089\u306a\u3044\u65b9\u306f\u300c\u9806\u5217\u3068\u7d44\u307f\u5408\u308f\u305b\u306e\u9055\u3044\u3068&#8221;\u7c21\u5358&#8221;\u306a\u898b\u5206\u3051\u65b9\u300d\u306b\u3066\u8a73\u3057\u304f\u89e3\u8aac\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u5834\u5408\u306e\u6570\u3092\u30de\u30b9\u30bf\u30fc\u3059\u308b\u306b\u306f\u3001\u305d\u308c\u305e\u308c\u306e\u516c\u5f0f\u3084\u610f\u5473\u3092\u7406\u89e3\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u5834\u5408\u306e\u6570\u3068\u78ba\u7387\u306b\u3064\u3044\u3066\u307e\u3068\u3081\u3066\u3044\u308b\u306e\u3067\u305c\u3072\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u7570\u306a\u308bn\u500b\u304b\u3089r\u500b\u3092\u4e26\u3079\u308b\u9806\u5217nPr\u3092\u7b97\u51fa\u3057\u307e\u3059\u3002 n,r\u3092\u5165\u529b\u5f8c\u3001\u7b97\u51fa\u30dc\u30bf\u30f3\u30af\u30ea\u30c3\u30af\u3057\u3066\u304f\u3060\u3055\u3044\u3002 n: \uff08n\u2267r>0\uff09 r: \u9806\u5217 P = \u901a\u308a\u306b\u306a\u308a\u307e\u3059\u3002 \u5165\u529b\u6761\u4ef6\u3092\u6e80\u305f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\uff08n\u2267r>0\uff09 \u4eca\u56de\u306f\u9806\u5217\u306b\u95a2 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":4182,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"swell_btn_cv_data":"","footnotes":""},"categories":[15,223],"tags":[20,10,11],"class_list":["post-1083","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-number","category-math-a","tag-20","tag-a","tag-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ 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n,r\u3092\u5165\u529b\u5f8c\u3001\u7b97\u51fa\u30dc\u30bf\u30f3\u30af\u30ea\u30c3\u30af\u3057\u3066\u304f\u3060\u3055\u3044\u3002 n: \uff08n\u2267r&gt;0\uff09 r: \u9806\u5217 P = \u901a\u308a\u306b\u306a\u308a\u307e\u3059\u3002 \u5165\u529b\u6761\u4ef6\u3092\u6e80\u305f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\uff08n\u2267r&gt;0\uff09 \u4eca\u56de\u306f\u9806\u5217\u306b\u95a2 [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/math-travel.jp\/math-a\/permutation\/\" \/>\n<meta property=\"og:site_name\" content=\"\u30de\u30b9\u30c8\u30e9\u9ad8\u6821\u6570\u5b66\u307e\u3068\u3081\u30b5\u30a4\u30c8\" \/>\n<meta property=\"article:published_time\" content=\"2025-12-24T08:20:36+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-02-11T08:00:42+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u9806\u5217\u306e\u516c\u5f0f\u3068\u4f7f\u3044\u65b9.png\" \/>\n\t<meta property=\"og:image:width\" content=\"1200\" \/>\n\t<meta property=\"og:image:height\" content=\"630\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"\u3086\u3046\u3084\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@https:\/\/twitter.com\/mathtora\" \/>\n<meta name=\"twitter:label1\" content=\"\u57f7\u7b46\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"\u3086\u3046\u3084\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u63a8\u5b9a\u8aad\u307f\u53d6\u308a\u6642\u9593\" \/>\n\t<meta name=\"twitter:data2\" content=\"6\u5206\" \/>\n<script type=\"application\/ld+json\" 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