{"id":1160,"date":"2025-12-24T17:20:36","date_gmt":"2025-12-24T08:20:36","guid":{"rendered":"https:\/\/math-travel.com\/?p=1160"},"modified":"2026-02-11T17:04:12","modified_gmt":"2026-02-11T08:04:12","slug":"highatonari","status":"publish","type":"post","link":"https:\/\/math-travel.jp\/math-a\/highatonari\/","title":{"rendered":"\u96a3\u308a\u5408\u3046\u30fb\u96a3\u308a\u5408\u308f\u306a\u3044\u9806\u5217\u306e\u89e3\u304d\u65b9\uff01\u300c\u3072\u3068\u304b\u305f\u307e\u308a\u300d\u3068\u300c\u9699\u9593\u300d\u304c\u653b\u7565\u306e\u9375"},"content":{"rendered":"\n
\u4eca\u56de\u89e3\u6c7a\u3059\u308b\u60a9\u307f<\/span><\/div>
\n

\u300c\u96a3\u308a\u5408\u3046\u3063\u3066\u3069\u3046\u3044\u3046\u3053\u3068\uff1f\u300d
\u300c\u96a3\u308a\u5408\u308f\u306a\u3044\u9806\u5217\u306e\u89e3\u304d\u65b9\u304c\u5206\u304b\u3089\u306a\u3044\u300d<\/p>\n<\/div><\/div>\n\n\n\n

\u9806\u5217\u306e\u554f\u984c\u3092\u89e3\u3044\u3066\u3044\u308b\u3068\u3001\u300c\u96a3\u308a\u5408\u3046\u9806\u5217<\/span>\u300d\u3068\u300c\u96a3\u308a\u5408\u308f\u306a\u3044\u9806\u5217<\/span>\u300d\u3068\u3044\u3046\u8a00\u8449\u304c\u51fa\u3066\u3066\u304d\u307e\u3059\u3088\u306d\u3002<\/p>\n\n\n\n

\u3053\u306e\uff12\u3064\u306f\u89e3\u304d\u65b9\u304c\u5927\u304d\u304f\u9055\u3046\u306e\u3067\u3001\u3057\u3063\u304b\u308a\u7406\u89e3\u3057\u3066\u304a\u304f\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

\u305d\u3053\u3067\u4eca\u56de\u306f\u3053\u306e\u3088\u3046\u306a\u554f\u984c\u3092\u89e3\u3051\u308b\u3088\u3046\u306b\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n

\n

\u7537\u5b503\u4eba\u3068\u5973\u5b504\u4eba\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u4e26\u3079\u308b\u3068\u304d\u3001\u305d\u306e\u4e26\u3079\u65b9\u306f\u4f55\u901a\u308a\u3042\u308a\u307e\u3059\u304b\u3002<\/p>\n\n\n\n

    \n
  • (1)\u3000\u7537\u5b503\u4eba\u304c\u96a3\u308a\u5408\u3046<\/li>\n\n\n\n
  • (2)\u3000\u7537\u5b50\u304c\u96a3\u308a\u5408\u308f\u306a\u3044<\/li>\n\n\n\n
  • (3)\u3000\u5c11\u306a\u304f\u3068\u30822\u4eba\u306e\u7537\u5b50\u304c\u96a3\u308a\u5408\u3046<\/li>\n\n\n\n
  • (4)\u3000\u7537\u5b503\u4eba\u306e\u3046\u30612\u4eba\u3060\u3051\u304c\u96a3\u308a\u5408\u3046<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n

    \u672c\u8a18\u4e8b\u3067\u306f\u3001\u96a3\u308a\u5408\u3046\u9806\u5217\u3068\u96a3\u308a\u5408\u308f\u306a\u3044\u9806\u5217\u306e\u89e3\u304d\u65b9\u3092\u89e3\u8aac<\/span>\u3057\u307e\u3059\u3002<\/p>\n\n\n\n

    \u96a3\u308a\u5408\u3046\u3068\u304d\u306e\u30dd\u30a4\u30f3\u30c8<\/h2>\n\n\n
    \n
    \"\u96a3\u308a\u5408\u3046\u3068\u304d\u306e\u30dd\u30a4\u30f3\u30c8\"<\/figure>\n<\/div>\n\n\n

    \u96a3\u308a\u5408\u3046\u3068\u304d\u306e\u30dd\u30a4\u30f3\u30c8\u306f\u3001\u96a3\u308a\u5408\u30461\u3064\u306e\u96c6\u56e3\u3092\u3072\u3068\u304b\u305f\u307e\u308a\u3068\u898b\u306a\u3057\u3066\u4e26\u3079\u308b<\/span>\u3053\u3068\u3067\u3059<\/p>\n\n\n\n

    \u96a3\u308a\u5408\u3046\u3068\u304d\u306e\u9806\u5217\u306f\u3001\u307e\u305a\u306f\u96a3\u308a\u5408\u3046\u3082\u306e\u3092\uff11\u3064\u306e\u584a\u3068\u307f\u306a\u3057\u3066\u4e26\u3073\u66ff\u3048\u307e\u3059\u3002<\/p>\n\n\n\n

    \u305d\u306e\u3042\u3068\u306b\u3001\u584a\u306e\u4e2d\u3067\u4e26\u3073\u66ff\u3048\u3092\u3057\u307e\u3059\u3002<\/p>\n\n\n\n

    \u96a3\u308a\u5408\u308f\u306a\u3044\u3068\u304d\u306e\u30dd\u30a4\u30f3\u30c8<\/h2>\n\n\n
    \n
    \"\u96a3\u308a\u5408\u308f\u306a\u3044\u3068\u304d\u306e\u30dd\u30a4\u30f3\u30c8\"<\/figure>\n<\/div>\n\n\n

    \u96a3\u308a\u5408\u308f\u306a\u3044\u3068\u304d\u306e\u30dd\u30a4\u30f3\u30c8\u306f\u3001\u96a3\u308a\u5408\u308f\u305b\u305f\u304f\u306a\u3044\u3082\u306e\u4ee5\u5916\u3092\u4e26\u3079\u305f\u3042\u3068\u306b\u3001\u4e21\u7aef\u3082\u3057\u304f\u306f\u9593\u306b\u96a3\u308a\u5408\u308f\u305b\u305f\u304f\u306a\u3044\u3082\u306e\u3092\u5165\u308c\u3066\u3044\u304f<\/span>\u3053\u3068\u3067\u3059\u3002<\/p>\n\n\n\n

    \u96a3\u308a\u5408\u308f\u306a\u3044\u3068\u3044\u3046\u306e\u306f\u3001\u4ea4\u4e92\u306b\u4e26\u3079\u3066\u3044\u304f\u30a4\u30e1\u30fc\u30b8\u3067\u3059\u3002<\/p>\n\n\n\n

    \u4eca\u65e5\u306e\u8ab2\u984c<\/h2>\n\n\n\n

    \u3067\u306f\u3001\u89e3\u304d\u65b9\u306e\u30dd\u30a4\u30f3\u30c8\u3092\u4f7f\u3063\u3066\u4eca\u65e5\u306e\u8ab2\u984c\u3092\u89e3\u3044\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

    \n

    \u7537\u5b503\u4eba\u3068\u5973\u5b504\u4eba\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u4e26\u3079\u308b\u3068\u304d\u3001\u305d\u306e\u4e26\u3079\u65b9\u306f\u4f55\u901a\u308a\u3042\u308a\u307e\u3059\u304b\u3002<\/p>\n\n\n\n

      \n
    • (1)\u3000\u7537\u5b503\u4eba\u304c\u96a3\u308a\u5408\u3046<\/li>\n\n\n\n
    • (2)\u3000\u7537\u5b50\u304c\u96a3\u308a\u5408\u308f\u306a\u3044<\/li>\n\n\n\n
    • (3)\u3000\u5c11\u306a\u304f\u3068\u30822\u4eba\u306e\u7537\u5b50\u304c\u96a3\u308a\u5408\u3046<\/li>\n\n\n\n
    • (4)\u3000\u7537\u5b503\u4eba\u306e\u3046\u30612\u4eba\u3060\u3051\u304c\u96a3\u308a\u5408\u3046<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n

      (1) \u7537\u5b503\u4eba\u304c\u96a3\u308a\u5408\u3046<\/span><\/p>\n\n\n

      \n
      \"\u7537\u5b503\u4eba\u304c\u96a3\u308a\u5408\u3046\"<\/figure>\n<\/div>\n\n\n

      \u3053\u308c\u306f\u96a3\u308a\u5408\u3046\u3068\u304d\u306e\u554f\u984c\u306a\u306e\u3067\u3001\u7537\u5b503\u4eba\u3092\uff11\u3064\u306e\u584a\u3068\u307f\u306a\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

      \u305d\u3046\u3059\u308b\u3053\u3068\u3067\u3001\u554f\u984c\u304c\u7537\u5b50\u306e\u584a\u3068\u5973\u5b504\u4eba\u306e\u4e26\u3073\u66ff\u3048\u306b\u5909\u308f\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

      \u7537\u5b50\u306e\u584a\u3068\u5973\u5b504\u4eba\u306e\u4e26\u3073\u65b9\u306e\u7dcf\u6570\u306f\u3001
      \\(5!=5\u30fb4\u30fb3\u30fb2\u30fb1=120\\)\u901a\u308a<\/p>\n\n\n

      \n
      \"\u7537\u5b503\u4eba\u304c\u96a3\u308a\u5408\u3046\"<\/figure>\n<\/div>\n\n\n

      \u6b21\u306b\u3001\u7537\u5b50\u306e\u584a\u306e\u4e2d\u3067\u3082\u4e26\u3073\u66ff\u3048\u304c\u3042\u308b\u306e\u3067
      \\(3!=3\u30fb2\u30fb1=6\\)\u901a\u308a<\/p>\n\n\n\n

      \u3057\u305f\u304c\u3063\u3066\u3001\u7537\u5b503\u4eba\u304c\u96a3\u308a\u5408\u3046\u4e26\u3073\u65b9\u306f
      \\(120\\times{6}=720\\)
      \u7b54\u3048\u3000720\u901a\u308a<\/p>\n\n\n\n

      (2) \u7537\u5b50\u304c\u96a3\u308a\u5408\u308f\u306a\u3044<\/span><\/p>\n\n\n\n

      \u4eca\u56de\u306f\u96a3\u308a\u5408\u308f\u306a\u3044\u554f\u984c\u306a\u306e\u3067\u3001\u5973\u5b50\u3092\u4e26\u3073\u66ff\u3048\u3066\u3001\u3042\u3068\u304b\u3089\u4e21\u7aef\u3068\u9593\u306b\u7537\u5b50\u3092\u5165\u308c\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n

      \n
      \"\u7537\u5b50\u304c\u96a3\u308a\u5408\u308f\u306a\u3044""\"<\/figure>\n<\/div>\n\n\n

      \u307e\u305a\u5973\u5b50\u3092\u4e26\u3073\u66ff\u3048\u307e\u3059\u3002
      \\(4!=4\u30fb3\u30fb2\u30fb1=24\\)\u901a\u308a<\/p>\n\n\n

      \n
      \"\"<\/figure>\n<\/div>\n\n\n

      \u3064\u304e\u306e\u7537\u5b503\u4eba\u3092\u5165\u308c\u308b\u7b87\u6240\u3092\u9078\u3073\u307e\u3059\u3002<\/p>\n\n\n\n

      \\[_{5}C_{3}=\\displaystyle \\frac{5\\times{4}\\times{3}}{3\\times{2}\\times{1}=10}\\]<\/p>\n\n\n

      \n
      \"\u7537\u5b50\u304c\u96a3\u308a\u5408\u308f\u306a\u3044\"<\/figure>\n<\/div>\n\n\n

      \u5165\u308c\u308b\u7537\u5b50\u306e\u9806\u756a\u3092\u6c7a\u3081\u307e\u3059\u3002
      \\(3!=3\u30fb2\u30fb1=6\\)\u901a\u308a<\/p>\n\n\n\n

      \u3088\u3063\u3066\u7537\u5b50\u304c\u96a3\u308a\u5408\u308f\u306a\u3044\u6642\u306e\u4e26\u3073\u65b9\u306e\u7dcf\u6570\u306f
      \\(24\\times{10}\\times{6}=1440\\)<\/p>\n\n\n\n

      \u7b54\u3048\u30001440\u901a\u308a<\/p>\n\n\n\n

      (3)\u3000\u5c11\u306a\u304f\u3068\u30822\u4eba\u306e\u7537\u5b50\u304c\u96a3\u308a\u5408\u3046<\/span><\/p>\n\n\n

      \n
      \"\u5c11\u306a\u304f\u3068\u30822\u4eba\u306e\u7537\u5b50\u304c\u96a3\u308a\u5408\u3046\"<\/figure>\n<\/div>\n\n\n

      \u300c\u5c11\u306a\u304f\u3068\u30822\u4eba\u306e\u7537\u5b50\u304c\u96a3\u308a\u5408\u3046\u300d\u306e\u88dc\u96c6\u5408\u306f\u300c\u7537\u5b50\u304c\u96a3\u308a\u5408\u308f\u306a\u3044\u300d<\/p>\n\n\n\n

      \u3088\u3063\u3066\u3001\u7537\u5b503\u4eba\u3068\u5973\u5b504\u4eba\u306e\u4e26\u3073\u66ff\u3048\u306e\u7dcf\u6570\u304b\u3089\u3001\u300c\u7537\u5b50\u304c\u96a3\u308a\u5408\u308f\u306a\u3044\u300d\u4e26\u3073\u65b9\u3092\u5f15\u3051\u3070\u300c\u5c11\u306a\u304f\u3068\u30822\u4eba\u306e\u7537\u5b50\u304c\u96a3\u308a\u5408\u3046\u300d\u4e26\u3073\u65b9\u304c\u6c42\u3081\u3089\u308c\u308b\u3002<\/p>\n\n\n\n

      \u7537\u5b503\u4eba\u3068\u5973\u5b504\u4eba\u306e\u4e26\u3073\u66ff\u3048\u306e\u7dcf\u6570\u306f
      \\(7!=7\u30fb6\u30fb5\u30fb4\u30fb3\u30fb2\u30fb1=5040\\)\u901a\u308a<\/p>\n\n\n\n

      (2)\u3067\u7537\u5b50\u304c\u96a3\u308a\u5408\u308f\u306a\u3044\u4e26\u3073\u65b9\u306e\u7dcf\u6570\u306f1440\u901a\u308a\u3068\u6c42\u3081\u3089\u308c\u3066\u3044\u308b\u306e\u3067\u3001
      \\(5040-1440=3600\\)<\/p>\n\n\n\n

      \u7b54\u3048\u30003600\u901a\u308a<\/p>\n\n\n\n

      (4)\u3000\u7537\u5b503\u4eba\u306e\u3046\u30612\u4eba\u3060\u3051\u304c\u96a3\u308a\u5408\u3046<\/span><\/p>\n\n\n

      \n
      \"\u7537\u5b503\u4eba\u306e\u3046\u30612\u4eba\u3060\u3051\u304c\u96a3\u308a\u5408\u3046\"<\/figure>\n<\/div>\n\n\n


      \u307e\u305a\u5973\u5b50\u3092\u4e26\u3079\u3066\u3001\u305d\u306e\u4e21\u7aef\u307e\u305f\u306f\u9593\u306b\u7537\u5b502\u4eba\u7d44\u30681\u4eba\u3092\u5165\u308c\u3066\u3044\u304f\u3002<\/p>\n\n\n\n

      \u5973\u5b50\u306e\u4e26\u3073\u65b9\u304c
      \\(4!=4\u30fb3\u30fb2\u30fb1=24\\)\u901a\u308a<\/p>\n\n\n

      \n
      \"\u7537\u5b503\u4eba\u306e\u3046\u30612\u4eba\u3060\u3051\u304c\u96a3\u308a\u5408\u3046\"<\/figure>\n<\/div>\n\n\n


      \u7537\u5b503\u4eba\u304b\u30892\u4eba\u3092\u4e26\u3079\u308b
      \\(_{3}P_{2}=3\u30fb2=6\\)\u901a\u308a<\/p>\n\n\n\n

      \u305d\u3057\u30662\u4eba\u7d44\u3092\u5165\u308c\u308b\u5834\u6240\u304c\uff15\u304b\u6240
      \u7537\u5b501\u4eba\u3092\u5165\u308c\u308b\u5834\u6240\u304c4\u304b\u6240<\/p>\n\n\n\n

      \u3057\u305f\u304c\u3063\u3066\u3001
      \\(24\\times{6}\\times{5}\\times{4}=2880\\)<\/p>\n\n\n\n

      \u7b54\u3048\u30002880\u901a\u308a<\/p>\n\n\n\n

      \u7df4\u7fd2\u554f\u984c<\/h2>\n\n\n
      \n
      \"\u7df4\u7fd2\u554f\u984c\"<\/figure>\n<\/div>\n\n\n

      \u554f\u984c1\u3000\u7537\u5b50\uff12\u4eba\u3068\u5973\u5b503\u4eba\u304c1\u5217\u306b\u4e26\u3076\u3068\u304d\uff0c\u7537\u5b50\uff12\u4eba\u304c\u96a3\u308a\u5408\u3046\u4e26\u3073\u65b9\u306f\u4f55\u901a\u308a\u3042\u308b\u304b\u3002<\/p>\n\n\n\n

      \u89e3\u8aac<\/span>
      \u7537\u5b502\u4eba\u3092\u30bb\u30c3\u30c8\u306b\u3057\u3066\u3001\u305d\u306e\u4e26\u3073\u65b9\u306f2\u901a\u308a\u3067\u3042\u308b\u3002<\/p>\n\n\n\n

      \u307e\u305f\u3001\u7537\u5b50\u30da\u30a2\u3068\u5973\u5b503\u4eba\u3067\u4e26\u3076\u3068\u304d\u306e\u4e26\u3073\u65b9\u306f
      \\(4!=4\u30fb3\u30fb2\u30fb1=24\\)\u901a\u308a<\/p>\n\n\n\n

      \u3088\u3063\u3066\u3001\u7537\u5b50\uff12\u4eba\u304c\u96a3\u308a\u5408\u3046\u4e26\u3073\u65b9\u306f
      \\(2\\times{24}=48\\)<\/p>\n\n\n\n

      \u7b54\u3048\u300048\u901a\u308a<\/p>\n\n\n\n

      \u554f\u984c2\u3000\u7537\u5b504\u4eba\u3068\u5973\u5b503\u4eba\u304c1\u5217\u306b\u4e26\u3076\u3068\u304d\uff0c\u5973\u5b50A,B,C\u306e\u3046\u3061A\u3068B\u304c\u96a3\u308a\u5408\u3044\u3001B\u3068C\u304c\u96a3\u308a\u5408\u308f\u306a\u3044\u4e26\u3073\u65b9\u306f\u4f55\u901a\u308a\u3042\u308b\u304b\u3002<\/p>\n\n\n\n

      \u89e3\u8aac<\/span><\/p>\n\n\n\n

      \u307e\u305a\u7537\u5b504\u4eba\u3092\u4e26\u3079\u308b\u3002
      \\(4!=4\u30fb3\u30fb2\u30fb1=24\\)\u901a\u308a<\/p>\n\n\n\n

      \u7537\u5b50\u306e\u4e21\u7aef\u3068\u305d\u306e\u9593\u306e5\u304b\u6240\u306e\u3046\u30611\u304b\u6240\u306bA\u3068B\u3092\u4e26\u3079\u3066\u3044\u308c\u308b\u3002
      \u305d\u306e\u3068\u304dAB,BA\u306e2\u3064\u306e\u4e26\u3073\u65b9\u304c\u3042\u308b\u306e\u3067
      \\(5\\times{2}=10\\)\u901a\u308a<\/p>\n\n\n\n

      \u6700\u5f8c\u306bB\u306e\u96a3\u3092\u9664\u304f5\u304b\u6240\u306e\u3046\u3061\u306e1\u304b\u6240\u306bC\u3092\u3044\u308c\u308b\u3002<\/p>\n\n\n\n

      \u3057\u305f\u304c\u3063\u3066\u3001
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