{"id":1085,"date":"2025-12-24T17:20:36","date_gmt":"2025-12-24T08:20:36","guid":{"rendered":"https:\/\/math-travel.com\/?p=1085"},"modified":"2026-02-11T17:01:03","modified_gmt":"2026-02-11T08:01:03","slug":"combination","status":"publish","type":"post","link":"https:\/\/math-travel.jp\/math-a\/combination\/","title":{"rendered":"\u7d44\u307f\u5408\u308f\u305bC\u306e\u8a08\u7b97\u516c\u5f0f\u3068\u4f7f\u3044\u65b9\u3092\u89e3\u8aac\uff01nCr\u306e\u57fa\u672c\u304b\u3089\u7df4\u7fd2\u554f\u984c\u307e\u3067\u5fb9\u5e95\u56f3\u89e3"},"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\u3089<span class=\"bold\">\u7570\u306a\u308b<\/span>r\u500b\u3092\u53d6\u308a\u51fa\u3059\u7d44\u307f\u5408\u308f\u305b nCr \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>\u7d44\u307f\u5408\u308f\u305b <span id=\"conditions-n\" class=\"font-mini\"><\/span>C<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\u7d44\u307f\u5408\u308f\u305bC\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\u7d44\u307f\u5408\u308f\u305b\u304c\u5206\u304b\u3089\u306a\u3044\u300d<br>\u300c\u9806\u5217\u3068\u306e\u9055\u3044\u304c\u308f\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>\u7d44\u307f\u5408\u308f\u305b\u306e\u3068\u304d\u306fC\u3092\u4f7f\u3046\u3053\u3068\u306f\u5206\u304b\u308b\u3051\u3069\u3001\u554f\u984c\u304c\u89e3\u3051\u307e\u305b\u3093..<\/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>\u300c\u9806\u5217\u306e\u516c\u5f0f\u3068\u4f7f\u3044\u65b9\u300d\u3067\u9806\u5217\u306e\u4e26\u3073\u65b9\u306b\u3064\u3044\u3066\u8003\u3048\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p><span class=\"yellow-hoso\">\u3053\u3053\u3067\u306f\u7d44\u307f\u5408\u308f\u305bC\u3092\u7528\u3044\u3066\u9078\u3073\u65b9\u3092\u8003\u3048\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<p><span class=\"red\">\u3055\u3063\u305d\u304f\u3067\u3059\u304c1\u3064\u554f\u984c\u3067\u3059\u3002<\/span><\/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>\u7537\u306e\u5b506\u4eba\u3068\u5973\u306e\u5b504\u4eba\u304c\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u4e2d\u304b\u30893\u4eba\u306e\u59d4\u54e1\u3092\u9078\u3076\u3068\u304d\u30013\u4eba\u306e\u9078\u3073\u65b9\u306f\u4f55\u901a\u308a\u3042\u308a\u307e\u3059\u304b\u3002<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306b\u7570\u306a\u308b\u3082\u306e\u306e\u306a\u304b\u304b\u3089\u3001<span class=\"huto\">\u3044\u304f\u3064\u304b\u306e\u3082\u306e\u3092&#8221;\u9078\u3076&#8221;\u3068\u304d<\/span>\u306b\u7d44\u307f\u5408\u308f\u305b\u3092\u3064\u304b\u3044\u307e\u3059\u3002<\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-right\" 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-hukidashi1-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u30b7\u30fc\u30bf<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>&#8220;\u4e26\u3079\u308b&#8221;\u304c\u9806\u5217\u306e\u30ad\u30fc\u30ef\u30fc\u30c9\u3067\u3001&#8221;\u9078\u3076&#8221;\u306f\u7d44\u307f\u5408\u308f\u305b\u306b\u30ad\u30fc\u30ef\u30fc\u30c9\u3060\u3088<\/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>\u672c\u8a18\u4e8b\u3067\u306f\u3001<span class=\"red\">\u7d44\u307f\u5408\u308f\u305b\u306e\u516c\u5f0f\u3068\u305d\u306e\u4f7f\u3044\u65b9\u3092\u30b5\u30af\u30c3\u3068\u89e3\u8aac<\/span>\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u7d44\u307f\u5408\u308f\u305b\u306e\u516c\u5f0f<\/h2>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"554\" height=\"189\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u305d\u3082\u305d\u3082\u7d44\u307f\u5408\u308f\u305b-1.jpg\" alt=\"\u7d44\u307f\u5408\u308f\u305b\u306e\u516c\u5f0f\" class=\"wp-image-1153\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u305d\u3082\u305d\u3082\u7d44\u307f\u5408\u308f\u305b-1.jpg 554w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u305d\u3082\u305d\u3082\u7d44\u307f\u5408\u308f\u305b-1-300x102.jpg 300w\" sizes=\"(max-width: 554px) 100vw, 554px\" \/><\/figure>\n<\/div>\n\n\n<p><span class=\"huto\">\u7d44\u307f\u5408\u308f\u305b\u306e\u3053\u3068\u3070\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>\u7d44\u307f\u5408\u308f\u305b <\/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\u4f5c\u308b\u7d44\u307f\u5408\u308f\u305b<\/p>\n<\/div><\/div>\n\n\n\n<p><span class=\"yellow-hoso\">\u8907\u6570\u306e\u3082\u306e\u304b\u3089\u3044\u304f\u3064\u304b\u3092\u9078\u3093\u3067\u7d44\u3092\u3064\u304f\u308b\u306e\u304c\u7d44\u307f\u5408\u308f\u305b\u3067\u3059\u3002<\/span><\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-right\" 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-hukidashi1-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u30b7\u30fc\u30bf<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u3044\u304f\u3064\u304b\u3092&#8221;\u9078\u3076&#8221;\u306e\u304c\u30dd\u30a4\u30f3\u30c8\u3060\u306d<\/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><span class=\"&quot;red\">&#8220;\u7d44\u307f\u5408\u308f\u305b\u306e\u6570\u306f\\(C\\)\u3092\u7528\u3044\u3066\u8003\u3048\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<div class=\"graybox\"><span class=\"huto\">\u7d44\u307f\u5408\u308f\u305b\u306e\u516c\u5f0f<\/span><br>\\[\\displaystyle _{n}C_{r}=\\frac{n(n-1)(n-2)&#8230;&#8230;(n-r+1)}{r(r-1)(r-2)&#8230;..1}\\]<\/div>\n\n\n\n<p>\u7d44\u307f\u5408\u308f\u305b\u306e\u516c\u5f0f\u306f\u3053\u306e\u3088\u3046\u306b\u306a\u308a\u3001<span class=\"ymarker\">\u5206\u6bcd\u304c\\(r!\\)\u3067\u5206\u5b50\u304c\\(_{n}P_{r}\\)<\/span>\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>5\u4eba\u306e\u306a\u304b\u304b\u30893\u4eba\u3092\u9078\u3076\u3068\u304d\u306e\u7d44\u307f\u5408\u308f\u305b\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u300c<span class=\"huto\">5\u4eba<\/span>\u300d\u306e\u306a\u304b\u300c<span class=\"huto\">3\u4eba<\/span>\u300d\u3092\u9078\u3076\u306e\u3067\u3001<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>\\displaystyle _{5}C_{3} &amp;=&amp;\\frac{5\\times{4}\\times{3}}{3\\times{2}\\times{1}}\\\\<br>&amp;=&amp;10<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306b\u8003\u3048\u3066\u300110\u901a\u308a\u306e\u9078\u3073\u65b9\u304c\u3042\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3057\u305f\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>5\u500b\u304b\u30893\u500b\u9078\u3076\u3068\u304d\u306f5C3\u306a\u3093\u3060\u306d\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\u306e\u7ae0\u3067\u3082\u3063\u3068\u5177\u4f53\u7684\u306b\u7d44\u307f\u5408\u308f\u305b\u306e\u516c\u5f0f\u306e\u4f7f\u3044\u65b9\u3092\u89e3\u8aac\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u7d44\u307f\u5408\u308f\u305b\u306e\u8a08\u7b97\u306f\u3069\u3046\u6c42\u3081\u308b\uff1f\u516c\u5f0f\u306e\u4f7f\u3044\u65b9<\/h2>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"574\" height=\"177\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u7d44\u307f\u5408\u308f\u305b\u306e\u4f7f\u3044\u65b9.jpg\" alt=\"\u7d44\u307f\u5408\u308f\u305b\u306e\u4f7f\u3044\u65b9&quot;&quot;\" class=\"wp-image-1150\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u7d44\u307f\u5408\u308f\u305b\u306e\u4f7f\u3044\u65b9.jpg 574w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u7d44\u307f\u5408\u308f\u305b\u306e\u4f7f\u3044\u65b9-300x93.jpg 300w\" sizes=\"(max-width: 574px) 100vw, 574px\" \/><\/figure>\n<\/div>\n\n\n<p>\u5192\u982d\u306e\u554f\u984c\u3067\u7d44\u307f\u5408\u308f\u305b\u306e\u4f7f\u3044\u65b9\u3092\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3057\u3087\u3046\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>\u7537\u306e\u5b506\u4eba\u3068\u5973\u306e\u5b504\u4eba\u304c\u3044\u307e\u3059\u3002<br>\u3053\u306e\u306a\u304b\u304b\u30893\u4eba\u306e\u59d4\u54e1\u3092\u9078\u3076\u3068\u304d\u30013\u4eba\u306e\u9078\u3073\u65b9\u306f\u4f55\u901a\u308a\u3042\u308a\u307e\u3059\u304b\u3002<\/p>\n<\/div><\/div>\n\n\n\n<p>\u7e70\u308a\u8fd4\u3057\u306b\u306a\u308a\u307e\u3059\u304c\u3001<span class=\"red\">\u7d44\u307f\u5408\u308f\u305b\u306f\u8907\u6570\u306e\u4e2d\u304b\u3089\u3044\u304f\u3064\u304b\u306e\u3082\u306e\u3092&#8221;\u9078\u3076&#8221;<\/span>\u3068\u304d\u306b\u4f7f\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4eca\u56de\u306e\u5834\u5408\u306f10\u4eba\u306e\u4e2d\u304b\u30893\u4eba\u3092&#8221;\u9078\u3076&#8221;\u306e\u3067\u7d44\u307f\u5408\u308f\u305b\u306e\u554f\u984c\u3060\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"yellowbox\">\n<p><span class=\"huto\">10\u4eba\u304b\u30893\u4eba\u3092\u9078\u3076<\/span>\u306e\u3067\u3001<\/p>\n<p>\\(\\displaystyle _{10}C_{3}=\\frac{10\\times{9}\\times{8}}{3\\times{2}\\times{1}}=120\\)<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u300110\u4eba\u304b\u30893\u4eba\u306e\u9078\u3073\u65b9\u306f120\u901a\u308a\u3060\u3068\u5206\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n<\/div>\n\n\n\n<p><span class=\"red-hoso\">\u3053\u3053\u3067\u6ce8\u610f\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u306a\u3044\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<p><span class=\"huto\">\u7d44\u307f\u5408\u308f\u305b\u306f&#8221;\u9078\u3076&#8221;\u3060\u3051\u306e\u554f\u984c\u306a\u306e\u3067\u3001\u9806\u756a\u306f\u6c17\u306b\u3057\u307e\u305b\u3093\u3002<\/span><\/p>\n\n\n\n<p>\u306a\u305c\u306a\u3089\u30011~5\u307e\u3067\u306e\u6570\u5b57\u304b\u30893\u3064\u9078\u3076\u3068\u304d{1,2,3}\u3068{2,1,3}\u306f\u9806\u756a\u304c\u9055\u3046\u3060\u3051\u3067\u9078\u3073\u65b9\u306f\u540c\u3058\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001<span class=\"red\">\u7d44\u307f\u5408\u308f\u305b\u306e\u554f\u984c\u3067\u306f\u9806\u756a\u304c\u7570\u306a\u308b\u3082\u306e\u306f\u540c\u3058\u9078\u3073\u65b9<\/span>\u3068\u3057\u3066\u8003\u3048\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u308c\u3060\u3051\u3067\u306f\u3001\u3059\u3053\u3057\u5fc3\u914d\u306a\u306e\u3067\u7df4\u7fd2\u554f\u984c\u3092\u89e3\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u7d44\u307f\u5408\u308f\u305b\u3092\u516c\u5f0f\u3092\u4f7f\u3063\u3066\u6c42\u3081\u3088\u3046\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=\"\u7d44\u307f\u5408\u308f\u305b\u306e\u516c\u5f0f\uff1c\u7df4\u7fd2\u554f\u984c\uff1e&quot;&quot;\" 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><span class=\"huto\">\u7d44\u307f\u5408\u308f\u305b\u306e\u516c\u5f0f\u3092\u3064\u304b\u3063\u3066\u7df4\u7fd2\u554f\u984c\u3092\u89e3\u3044\u3066\u3044\u304d\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<div class=\"kizibox\"><span class=\"box-title\">\u7df4\u7fd2\u554f\u984c<\/span>\uff11\uff0e\u7537\u306e\u5b50\uff15\u4eba\u3001\u5973\u306e\u5b50\uff14\u4eba\u3044\u307e\u3059\u3002<br>\u3053\u306e\u4e2d\u304b\u3089\u7537\u306e\u5b50\uff12\u4eba\u3001\u5973\u306e\u5b50\uff12\u4eba\u3092\u9078\u3076\u3068\u304d\u3001\u305d\u306e\u9078\u3073\u65b9\u306f\u4f55\u901a\u308a\u3042\u308a\u307e\u3059\u304b\u3002\uff12\uff0e\u6b63\u4e03\u89d2\u5f62\u306e\uff17\u500b\u306e\u9802\u70b9\u306e\u3046\u3061\u3001\uff13\u70b9\u3092\u7d50\u3093\u3067\u4e09\u89d2\u5f62\u3092\u4f5c\u308b\u3068\u304d\u3001\u4e09\u89d2\u5f62\u306f\u4f55\u500b\u3067\u304d\u307e\u3059\u304b\u3002<\/div>\n\n\n\n<div class=\"akabox\"><span class=\"box-title\">\u89e3\u8aac<\/span><br>\uff11\uff0e\u7537\u306e\u5b50\u306e\u9078\u3073\u65b9\u306f\\(_{5}C_{2}\\)\u901a\u308a\u3002<br>\u305d\u308c\u306b\u5bfe\u3057\u3066\u3001\u5973\u306e\u5b50\u306e\u9078\u3073\u65b9\u304c\\(_{4}C_{2}\\)\u901a\u308a\u3042\u308b\u306e\u3067\u3001\\(_{5}C_{2}\\times{_{4}C_{2}}\\)\\(\\displaystyle =\\frac{5\\times{4}}{2\\times{1}}\\times{\\frac{4\\times{3}}{2\\times{1}}}\\)\\(=60\\)\u3057\u305f\u304c\u3063\u306660\u901a\u308a\u3002&nbsp;\n<p>\uff12\uff0e\uff17\u500b\u306e\u9802\u70b9\u306f\u3069\u306e\uff13\u70b9\u3082\uff11\u76f4\u7dda\u72b6\u306b\u96c6\u307e\u308b\u3053\u3068\u304c\u306a\u3044\u306e\u3067\u3001\uff13\u500b\u306e\u70b9\u3092\u9078\u3076\u3068\u8003\u3048\u308b\u3068\u4e09\u89d2\u5f62\u304c\uff11\u3064\u3067\u304d\u308b\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u4e09\u89d2\u5f62\u306e\u500b\u6570\u306f\u3001<br>\\(\\displaystyle _{7}C_{3}=\\frac{7\\times{6}\\times{5}}{3\\times{2}\\times{1}}=35\\)<br>\uff13\uff15\u500b\u306e\u4e09\u89d2\u5f62\u304c\u4f5c\u308c\u308b\u3002<\/p>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\">\u7d44\u307f\u5408\u308f\u305bC\u306e\u8a08\u7b97\u3068\u516c\u5f0f\u306e\u4f7f\u3044\u65b9<\/h2>\n\n\n\n<p>\u4eca\u56de\u306f\u6570\u5b66A\u306e\u7d44\u307f\u5408\u308f\u305bC\u306e\u516c\u5f0f\u3068\u4f7f\u3044\u65b9\u306b\u3064\u3044\u3066\u30b5\u30af\u30c3\u3068\u307e\u3068\u3081\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<div class=\"graybox\">\n<dl>\n<dt>\u7d44\u307f\u5408\u308f\u305b<\/dt>\n<dd>\u7570\u306a\u308b\\(n\\)\u500b\u306e\u3082\u306e\u304b\u3089\u7570\u306a\u308b\\(r\\)\u500b\u3092\u53d6\u308a\u51fa\u3057\u3066\u4f5c\u308b\u7d44\u307f\u5408\u308f\u305b<\/dd>\n<\/dl>\n<\/div>\n\n\n\n<p><span class=\"huto\">\u7d44\u307f\u5408\u308f\u305b\u3082\u6163\u308c\u308c\u3070\u3059\u3050\u306b\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b\u306e\u3067\u3001\u305f\u304f\u3055\u3093\u554f\u984c\u306b\u6311\u6226\u3057\u307e\u3057\u3087\u3046\uff01<\/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","protected":false},"excerpt":{"rendered":"<p>\u7570\u306a\u308bn\u500b\u304b\u3089\u7570\u306a\u308br\u500b\u3092\u53d6\u308a\u51fa\u3059\u7d44\u307f\u5408\u308f\u305b nCr \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: \u7d44\u307f\u5408\u308f\u305b C = \u901a\u308a\u306b\u306a\u308a\u307e\u3059\u3002 \u5165\u529b\u6761\u4ef6\u3092\u6e80\u305f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\uff08n\u2267 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":4185,"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-1085","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\/ -->\n<title>\u7d44\u307f\u5408\u308f\u305bC\u306e\u8a08\u7b97\u516c\u5f0f\u3068\u4f7f\u3044\u65b9\u3092\u89e3\u8aac\uff01nCr\u306e\u57fa\u672c\u304b\u3089\u7df4\u7fd2\u554f\u984c\u307e\u3067\u5fb9\u5e95\u56f3\u89e3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/math-travel.jp\/math-a\/combination\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u7d44\u307f\u5408\u308f\u305bC\u306e\u8a08\u7b97\u516c\u5f0f\u3068\u4f7f\u3044\u65b9\u3092\u89e3\u8aac\uff01nCr\u306e\u57fa\u672c\u304b\u3089\u7df4\u7fd2\u554f\u984c\u307e\u3067\u5fb9\u5e95\u56f3\u89e3\" \/>\n<meta property=\"og:description\" content=\"\u7570\u306a\u308bn\u500b\u304b\u3089\u7570\u306a\u308br\u500b\u3092\u53d6\u308a\u51fa\u3059\u7d44\u307f\u5408\u308f\u305b nCr \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&gt;0\uff09 r: \u7d44\u307f\u5408\u308f\u305b C = \u901a\u308a\u306b\u306a\u308a\u307e\u3059\u3002 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