{"id":4464,"date":"2025-06-30T10:00:58","date_gmt":"2025-06-30T01:00:58","guid":{"rendered":"https:\/\/winroadrikeijyuku.com\/oita\/?p=4464"},"modified":"2025-06-26T20:39:25","modified_gmt":"2025-06-26T11:39:25","slug":"%e6%95%b4%e6%95%b0%e8%a7%a3%e3%81%ae%e7%b5%84%e3%81%ae%e5%80%8b%e6%95%b0%e6%9d%b1%e4%ba%ac%e5%8c%bb%e7%a7%91%e6%ad%af%e7%a7%91%e5%a4%a7","status":"publish","type":"post","link":"https:\/\/winroadrikeijyuku.com\/oita\/2025\/06\/30\/%e6%95%b4%e6%95%b0%e8%a7%a3%e3%81%ae%e7%b5%84%e3%81%ae%e5%80%8b%e6%95%b0%e6%9d%b1%e4%ba%ac%e5%8c%bb%e7%a7%91%e6%ad%af%e7%a7%91%e5%a4%a7\/","title":{"rendered":"\u6574\u6570\u89e3\u306e\u7d44\u306e\u500b\u6570(\u6771\u4eac\u533b\u79d1\u6b6f\u79d1\u5927)| \u5927\u5206\u5e02 \u5927\u5b66\u53d7\u9a13 \u6570\u5b66 \u587e |\u5927\u5206\u7406\u7cfb\u5c02\u9580\u587eWINROAD"},"content":{"rendered":"<p>\u4ee5\u4e0b\u306e\u554f\u3044\u306b\u7b54\u3048\u3088\u3002<\/p>\n<p>(1) \u6b21\u306e\uff13\u6761\u4ef6(a)\u3001(b)\u3001(c)\u3092\u6e80\u305f\u3059\u6574\u6570\u306e\u7d44(\u200b<span class=\"math inherit-color\">\\( a_1, a_2, a_3, a_4, a_5 \\)<\/span>\u200b)\u306e\u500b\u6570\u3092\u6c42\u3081\u3088\u3002<\/p>\n<p>(a) \u200b<span class=\"math inherit-color\">\\( a_1 \\geqq 1 \\)<\/span>\u200b\u3000\u3001(b) \u200b<span class=\"math inherit-color \">\\( a_5\\leqq 4 \\)<\/span>\u200b\u3000\u3001(c) \u200b<span class=\"math inherit-color \">\\( a_k\\leqq{a_{k+1}} \\)<\/span>\u200b\u00a0 (k=1 , 2 , 3 , 4 )<\/p>\n<p>&nbsp;<\/p>\n<p>(2) \u6b21\u306e\uff13\u6761\u4ef6(a)\u3001(b)\u3001(c)\u3092\u6e80\u305f\u3059\u6574\u6570\u306e\u7d44(\u200b<span class=\"math inherit-color\">\\( a_1, a_2, a_3, a_4, a_5 \\)<\/span>\u200b)\u306e\u500b\u6570\u3092\u6c42\u3081\u3088\u3002<\/p>\n<p>(a)\u200b<span class=\"math inherit-color\">\\( a_1 \\geqq 1 \\)<\/span>\u200b\u3000\u3001(b) \u200b<span class=\"math inherit-color\">\\( a_k\\geqq0 \\)<\/span>\u200b( k=2 , 3 , 4 , 5 )\u3000\u3001(c) \u200b<span class=\"math inherit-color \">\\( a_1+a_2+a_3+a_4+a_5\\leqq4 \\)<\/span>\u200b<\/p>\n<p>&nbsp;<\/p>\n<p>(3) n\u6841\u306e\u81ea\u7136\u6570\u3067\u5404\u6841\u306e\u6570\u5b57\u306e\u5408\u8a08\u304cr\u4ee5\u4e0b\u3068\u306a\u308b\u3082\u306e\u306e\u500b\u6570\u3092n , r \u3092\u7528\u3044\u3066\u8868\u305b\u3002<\/p>\n<p>\u305f\u3060\u3057\u3001\u200b<span class=\"math inherit-color \">\\( n\\geqq1\u3001r\\leqq9 \\)<\/span>\u200b\u3068\u3059\u308b\u3002<\/p>\n<hr \/>\n<hr \/>\n<p><span style=\"color: #000000;\">(1) <\/span><\/p>\n<p><span style=\"color: #000000;\">\u307e\u305a\u3053\u306e\u554f\u984c\u3092\u3069\u3046\u8003\u3048\u3088\u3046\uff1f<\/span><\/p>\n<p><span style=\"color: #000000;\">(a),(b)\u306e\u6761\u4ef6\u304b\u3089\u200b<span class=\"math inherit-color\">\\( a_1, a_2, a_3, a_4, a_5 \\)<\/span>\u200b\u306e\u3044\u305a\u308c\u3082\uff11\u301c\uff14\u306e\u6570\u5b57\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u3053\u3067\u6b21\u306e\u3088\u3046\u306a\uff13\u3064\u306e\u3057\u304d\u308a\u3068\u30dc\u30fc\u30eb\uff15\u3064\u3092\u7528\u610f\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4471\" src=\"https:\/\/winroadrikeijyuku.com\/oita\/wp-content\/uploads\/2025\/06\/d83b8d39eb7beceefd6e26d5c8d64aa9.jpg\" alt=\"\" width=\"281\" height=\"73\" \/>\u3053\u308c\u3092\u4e26\u3079\u66ff\u3048\u305f\u3068\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e00\u4f8b\u3092\u793a\u3057\u307e\u3059\u3002\u6b21\u306e\u3088\u3046\u306b\u4e26\u3093\u3060\u3068\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4472\" src=\"https:\/\/winroadrikeijyuku.com\/oita\/wp-content\/uploads\/2025\/06\/68a1022d55d7b30d6658cae11d9b3a83.jpg\" alt=\"\" width=\"281\" height=\"73\" \/><\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u308c\u306f\u6b21\u306e\u3088\u3046\u306b\u5bfe\u5fdc\u3059\u308b\u3068\u8003\u3048\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-4473 alignleft\" src=\"https:\/\/winroadrikeijyuku.com\/oita\/wp-content\/uploads\/2025\/06\/5808125c624366c16d489ea9c72f886d.jpg\" alt=\"\" width=\"281\" height=\"117\" \/><\/span><\/p>\n<p><span style=\"color: #000000;\">\uff11\u3001\uff12\u3001\uff12\u3001\uff13\u3001\uff14\u3053\u308c\u3089\u3092\u5c0f\u3055\u3044\u3082\u306e\u304b\u3089\u9806\u306b<\/span><\/p>\n<p><span style=\"color: #000000;\">\u200b<span class=\"math inherit-color\">\\( a_1, a_2, a_3, a_4, a_5 \\)<\/span>\u200b\u306b\u3042\u3066\u3066\u3044\u3051\u3070\u826f\u3044\u306e\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u3068\u304d\u200b<span class=\"math inherit-color \">\\( a_1=1\u3001a_2=2,a_3=2,a_4=3,a_5=4 \\)<\/span>\u200b<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3068\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u3053\u3067\u3082\u3046\uff11\u4f8b\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-4475 alignleft\" src=\"https:\/\/winroadrikeijyuku.com\/oita\/wp-content\/uploads\/2025\/06\/9eb33f710f35a6e240f2c61e1666dfca.jpg\" alt=\"\" width=\"281\" height=\"117\" \/><\/span><\/p>\n<p><span style=\"color: #000000;\">\uff11\u3001\uff11\u3001\uff11\u3001\uff13\u3001\uff13<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u3068\u304d\u200b<span class=\"math inherit-color\">\\( a_1=1\u3001a_2=1,a_3=1,a_4=3,a_5=3 \\)<\/span>\u200b<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3068\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0a\u306e\u3053\u3068\u304b\u3089\u6c42\u3081\u308b\u500b\u6570\u306f\u200b<span class=\"math inherit-color \">\\( \\dfrac{8!}{3!\\cdot5!}=\\dfrac{8\\cdot7\\cdot6}{3\\cdot2\\cdot1}=56 \\)<\/span>\u200b\u500b\u3068\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<hr \/>\n<hr \/>\n<p><span style=\"color: #000000;\">(2) \u4eca\u5ea6\u306f\u6b21\u306e\u3088\u3046\u306b\u8003\u3048\u307e\u3059\u3002(1)\u3092\u53c2\u8003\u306b\u3057\u307e\u3059\u304c\u6761\u4ef6(a)\u3092\u8003\u3048\u308b\u3068\u307e\u305a\u30dc\u30fc\u30eb\uff14\u3064\u306e\u3046\u3061<\/span><\/p>\n<p><span style=\"color: #000000;\">\uff11\u3064\u3092\u307e\u305a\u200b<span class=\"math inherit-color \">\\( a_1 \\)<\/span>\u200b\u306b\u5f53\u3066\u3066\u304a\u304d\u307e\u3059\u3002\u305d\u3057\u3066\u6761\u4ef6\u3092\u6b21\u306e\u3088\u3046\u306b\u8003\u3048\u307e\u3059<\/span><\/p>\n<p><span style=\"color: #000000;\">(a)(b)\u3088\u308a \u200b<span class=\"math inherit-color\">\\( a\u2019_k\\geqq0 \\)<\/span>\u200b(k=1 , 2 , 3 , 4 , 5)\u3001(c) \u200b<span class=\"math inherit-color\">\\( a\u2019_1+a_2+a_3+a_4+a_5\\leqq3 \\)<\/span>\u200b<\/span><\/p>\n<p><span style=\"color: #000000;\">\u305d\u3053\u3067\u3057\u304d\u308a\u3092\uff15\u3064\u3068\u30dc\u30fc\u30eb\uff13\u500b\u3092\u7528\u610f\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3057\u304d\u308a\u3092\uff15\u3064\u7528\u610f\u3059\u308b\u306e\u306f\u6761\u4ef6(c)\u304c\u200b<span class=\"math inherit-color\">\\( a&#8217;_1+a_2+a_3+a_4+a_5\\leqq3 \\)<\/span>\u200b\u3067\u200b<span class=\"math inherit-color _focus\">\\( a&#8217;_1+a_2+a_3+a_4+a_5=3 \\)<\/span>\u200b\u3067\u306f<\/span><\/p>\n<p><span style=\"color: #000000;\">\u306a\u3044\u304b\u3089\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u524d\u56de\u306f\u3057\u304d\u308a\u3068\u6570\u5b57\u3092\u3001\u30dc\u30fc\u30eb\u3068\u200b<span class=\"math inherit-color\">\\( a_1,a_2, a_3, a_4, a_5 \\)<\/span>\u200b\u306b\u5bfe\u5fdc\u3055\u305b\u3066\u3044\u307e\u3057\u305f\u304c\u3001<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4eca\u56de\u306f\u3057\u304d\u308a\u3068\u200b<span class=\"math inherit-color\">\\( a&#8217;_1, a_2, a_3, a_4,a_5 \\)<\/span>\u200b\u3068\u5bfe\u8c61\u5916\u3092\u5bfe\u5fdc\u3055\u305b\u3001\u30dc\u30fc\u30eb\u306e\u500b\u6570\u3092\u6570\u5b57\u306b\u5bfe\u5fdc\u3055\u305b\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u3092\u793a\u3057\u3066\u307f\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-4490 alignleft\" src=\"https:\/\/winroadrikeijyuku.com\/oita\/wp-content\/uploads\/2025\/06\/513932903e927b299d39d9d29f2bb297.jpg\" alt=\"\" width=\"351\" height=\"98\" srcset=\"https:\/\/winroadrikeijyuku.com\/oita\/wp-content\/uploads\/2025\/06\/513932903e927b299d39d9d29f2bb297.jpg 351w, https:\/\/winroadrikeijyuku.com\/oita\/wp-content\/uploads\/2025\/06\/513932903e927b299d39d9d29f2bb297-300x84.jpg 300w\" sizes=\"auto, (max-width: 351px) 100vw, 351px\" \/><\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u3088\u3046\u306b\u4e26\u3093\u3060\u3068\u3059\u308b\u3068<\/span><\/p>\n<p><span style=\"color: #000000;\">\u200b<span class=\"math inherit-color\">\\( a&#8217;_1=1, a_2=0, a_3=2, a_4=0, a_5=0 \\)<\/span>\u200b\u3068\u306a\u308a<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7d50\u679c\u200b<span class=\"math inherit-color\">\\( a_1=2, a_2=0, a_3=2, a_4=0, a_5=0 \\)<\/span>\u200b<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6761\u4ef6\u306b\u3064\u3044\u3066\u306f\u200b<span class=\"math inherit-color\">\\( a_1=2 \\)<\/span>\u200b\u200b\u200b\u3001\u200b<span class=\"math inherit-color\">\\( a_k\\geqq0 \\)<\/span>\u200b( k=2 , 3 , 4 , 5 )\u3001<span class=\"math inherit-color\">\\( a_1+a_2+a_3+a_4+a_5=4 \\)<\/span>\u200b\u3067\u6e80\u305f\u3057\u3066\u3044\u307e\u3059<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3055\u3089\u306b\u3082\u3046\u4e00\u4f8b<\/span><\/p>\n<p><span style=\"color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-4491 alignleft\" src=\"https:\/\/winroadrikeijyuku.com\/oita\/wp-content\/uploads\/2025\/06\/b999b618030f7a198e41cae980be06b0.jpg\" alt=\"\" width=\"273\" height=\"85\" \/><\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u5834\u5408<\/span><\/p>\n<p><span style=\"color: #000000;\">\u200b<span class=\"math inherit-color\">\\( a&#8217;_1=0, a_2=0, a_3=0, a_4=1, a_5=1\u3001\u5bfe\u8c61\u5916=1 \\)<\/span>\u200b\u3068<\/span><\/p>\n<p><span style=\"color: #000000;\">\u306a\u308a\u7d50\u679c\u200b<span class=\"math inherit-color\">\\( a_1=1, a_2=0, a_3=0, a_4=1, a_5=1 \\)<\/span>\u200b<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6761\u4ef6\u306b\u3064\u3044\u3066\u306f\u200b<span class=\"math inherit-color\">\\( a_1=1 \\)<\/span>\u200b\u200b\u200b\u3001\u200b<span class=\"math inherit-color\">\\( a_k\\geqq0 \\)<\/span>\u200b( k=2 , 3 , 4 , 5 )\u3001<span class=\"math inherit-color\">\\( a_1+a_2+a_3+a_4+a_5=3 \\)<\/span>\u200b\u3067\u6e80\u305f\u3057\u3066\u3044\u307e\u3059.<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0a\u306e\u3053\u3068\u304b\u3089\u6c42\u3081\u308b\u500b\u6570\u306f<\/span><\/p>\n<p><span style=\"color: #000000;\">\u200b<span class=\"math inherit-color\">\\( \\dfrac{8!}{5!\\cdot3!}=\\dfrac{8\\cdot7\\cdot6}{3\\cdot2\\cdot1}=56 \\)<\/span>\u200b\u3068\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<hr \/>\n<hr \/>\n<p><span style=\"color: #000000;\">(3)\u3000(2)\u3092\u53c2\u8003\u306b\u3059\u308b\u3068n\u6841\u306a\u306e\u3067\u6700\u9ad8\u4f4d\u306e\u6570\u304b\u3089\u9806\u306b\u200b<span class=\"math inherit-color\">\\( a_n , a_{n-1}, a_{n-2}, a_{n-3},\u30fb\u30fb\u30fb\u30fb\u30fb\u30fb,a_3, a_2, a_1\\)<\/span><\/span><\/p>\n<p><span style=\"color: #000000;\">\u3068\u3059\u308b\u3068\u6761\u4ef6\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">(a) \u200b<span class=\"math inherit-color \">\\( a_n\\geqq1 \\)<\/span>\u200b\u3001(b)\u200b<span class=\"math inherit-color\">\\( \uff10\\leqq a_k\\leqq9 \\quad (k=1,2,3\\ldots \\ldots,n-3,n-2,n-1) \\)<\/span>\u200b<\/span><\/p>\n<p><span style=\"color: #000000;\">(c) \u200b<span class=\"math inherit-color\">\\( a_n+a_{n-1}+a_{n-2}+\\ldots\\ldots+a_3+a_2+a_1\\leqq r \\)<\/span>\u200b<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4eca\u56de\u200b<span class=\"math inherit-color\">\\( r\\leqq 9 \\)<\/span>\u200b\u306a\u306e\u3067(c)\u3067\u69cb\u3044\u307e\u305b\u3093<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3057\u305f\u304c\u3063\u3066\u3001\u3057\u304d\u308a\u3092n\u500b(\u5bfe\u8c61\u5916\u3092\u8003\u3048\u3066n\u500b\u3068\u3057\u307e\u3059\u3002)\u3001\u30dc\u30fc\u30eb\u3092\u200b<span class=\"math inherit-color\">\\( r-1 \\)<\/span>\u200b\u500b\u7528\u610f\u3057\u3066\u4e26\u3079\u66ff\u3048\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0a\u3088\u308a\u6c42\u3081\u308b\u500b\u6570\u306f\u200b<span class=\"math inherit-color\">\\( \\dfrac{(n+r-1)!}{n!\\cdot(r-1)!} \\)<\/span>\u200b\u500b\u3068\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"color: #000000;\">\uff08\u5927\u5206\u7406\u7cfb\u5c02\u9580\u587eWINROAD \u9996\u85e4\uff09<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4ee5\u4e0b\u306e\u554f\u3044\u306b\u7b54\u3048\u3088\u3002 (1) \u6b21\u306e\uff13\u6761\u4ef6(a)\u3001(b)\u3001(c)\u3092\u6e80\u305f\u3059\u6574\u6570\u306e\u7d44(\u200b\\( a_1, a_2, a_3, a_4, a_5 \\)\u200b)\u306e\u500b\u6570\u3092\u6c42\u3081\u3088\u3002 (a) \u200b\\( a_1 \\geqq 1 \\)\u200b\u3000\u3001(b) <\/p>\n<p><a href=\"https:\/\/winroadrikeijyuku.com\/oita\/2025\/06\/30\/%e6%95%b4%e6%95%b0%e8%a7%a3%e3%81%ae%e7%b5%84%e3%81%ae%e5%80%8b%e6%95%b0%e6%9d%b1%e4%ba%ac%e5%8c%bb%e7%a7%91%e6%ad%af%e7%a7%91%e5%a4%a7\/\" class=\"more-link\">\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"vkexunit_cta_each_option":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-4464","post","type-post","status-publish","format-standard","hentry","category-1"],"_links":{"self":[{"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/posts\/4464","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/comments?post=4464"}],"version-history":[{"count":41,"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/posts\/4464\/revisions"}],"predecessor-version":[{"id":4529,"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/posts\/4464\/revisions\/4529"}],"wp:attachment":[{"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/media?parent=4464"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/categories?post=4464"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/tags?post=4464"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}