{"id":2669,"date":"2018-04-20T20:31:50","date_gmt":"2018-04-20T12:31:50","guid":{"rendered":"http:\/\/www.xttblog.com\/?p=2669"},"modified":"2018-04-20T20:31:50","modified_gmt":"2018-04-20T12:31:50","slug":"%e9%98%ae%e4%b8%80%e5%b3%b0%ef%bc%8c%e5%bd%a9%e7%a5%a8%e7%9a%84%e6%95%b0%e5%ad%a6%e7%9f%a5%e8%af%86","status":"publish","type":"post","link":"https:\/\/www.xttblog.com\/?p=2669","title":{"rendered":"\u962e\u4e00\u5cf0\uff0c\u5f69\u7968\u7684\u6570\u5b66\u77e5\u8bc6"},"content":{"rendered":"<p>\n\t\u5f69\u7968\u600e\u6837\u624d\u80fd\u4e2d\u5956\uff1f\n<\/p>\n<p>\n\t\u7406\u8bba\u4e0a\uff0c\u53ea\u80fd\u9760\u8fd0\u6c14\u3002\u4f46\u662f\uff0c\u5982\u679c\u89c4\u5219\u8bbe\u8ba1\u5f97\u4e0d\u597d\uff0c\u5c31\u53ef\u4ee5\u94bb\u6f0f\u6d1e\u3002\n<\/p>\n<p>\n\t<img decoding=\"async\" alt=\"\" src=\"http:\/\/www.ruanyifeng.com\/blogimg\/asset\/2018\/bg2018040801.jpg\" title=\"\" \/>\n<\/p>\n<p>\n\t2005\u5e742\u6708\uff0c\u7f8e\u56fd\u7684\u4e00\u4e2a\u5f69\u7968\u54c1\u79cd\uff0c\u5c31\u51fa\u73b0\u4e86\u6f0f\u6d1e\uff0c\u88ab\u9ebb\u7701\u7406\u5de5\u5b66\u9662\u7684\u5b66\u751f\u53d1\u73b0\u4e86\u3002\u968f\u540e\u7684\u4e03\u5e74\uff0c\u8fd9\u4e2a\u5b66\u751f\u53cd\u590d\u8d2d\u4e70\u8fd9\u4e2a\u54c1\u79cd\uff0c\u4e00\u5171\u8d5a\u5230\u4e86300\u4e07\u7f8e\u5143\u3002\n<\/p>\n<p>\n\t\u672c\u6587\u4ecb\u7ecd\u4ed6\u600e\u4e48\u505a\u7684\uff0c\u4ee5\u53ca\u5176\u4e2d\u7684\u6570\u5b66\u539f\u7406\u3002\u6211\u4f9d\u636e\u7684\u6750\u6599\uff0c\u4e3b\u8981\u6765\u81ea\u6570\u5b66\u6559\u6388 Jordan Ellenberg \u5728\u65af\u5766\u798f\u5927\u5b66\u7684\u4e00\u6b21\u6f14\u8bb2\uff08<a href=\"https:\/\/www.youtube.com\/watch?v=QtlmXoHpNyI\" target=\"_blank\">Youtube<\/a>\uff09\u3002\n<\/p>\n<h2>\n\t\u4e00\u3001\u671f\u671b\u503c<br \/>\n<\/h2>\n<p>\n\t\u5f69\u7968\u6700\u91cd\u8981\u7684\u6570\u5b66\u6982\u5ff5\uff0c\u53eb\u505a&quot;\u671f\u671b\u503c&quot;\uff08expected value\uff09\uff0c\u5373\u540c\u4e00\u79cd\u884c\u4e3a\u591a\u6b21\u91cd\u590d\u4ee5\u540e\uff0c\u6240\u80fd\u5f97\u5230\u7684\u5e73\u5747\u6536\u76ca\u3002\n<\/p>\n<p>\n\t\u4e3e\u4f8b\u6765\u8bf4\uff0c\u5982\u679c\u6bcf\u6b21\u62bd\u5956\u9700\u89812\u5143\uff0c\u5047\u8bbe200\u6b21\u62bd\u5956\u53ef\u4ee5\u4e2d\u5956\u4e00\u6b21\uff0c\u5956\u91d1\u4e3a300\u5143\u3002\u90a3\u4e48\uff0c\u4f60\u82b1\u4e862000\u5143\uff0c\u4e00\u5171\u62bd\u59561000\u6b21\uff0c\u4e2d\u5956\u4e865\u6b21\uff0c\u5956\u91d1\u4e3a1500\u5143\u3002\n<\/p>\n<p>\n\t\u4e5f\u5c31\u662f\u8bf4\uff0c1000\u6b21\u62bd\u5956\u7684\u603b\u6536\u76ca\u662f1500\u5143\uff0c\u6bcf\u6b21\u7684\u5e73\u5747\u6536\u76ca\u662f1.5\u5143\uff0c\u8fd9\u5c31\u662f\u671f\u671b\u503c\u3002\u5b83\u7684\u8ba1\u7b97\u516c\u5f0f\u5982\u4e0b\u3002\n<\/p>\n<blockquote>\n<p>\n\t\t\u671f\u671b\u503c = 300 * (1 \/ 200) + 0 * (199 \/ 200) = 1.5\n\t<\/p>\n<\/blockquote>\n<p>\n\t\u671f\u671b\u503c\u662f1.5\u5143\uff0c\u4f46\u662f\u6bcf\u6b21\u62bd\u5956\u6210\u672c2\u5143\uff0c\u4e8e\u662f\u51c0\u4e8f\u635f0.5\u5143\u3002\n<\/p>\n<p>\n\t\u4e00\u770b\u5c31\u77e5\u9053\uff0c\u8fd9\u4e2a\u4e8b\u60c5\u662f\u4e0d\u5212\u7b97\u7684\uff0c\u505a\u5f97\u8d8a\u591a\uff0c\u8d8a\u4e0d\u5212\u7b97\u3002\u5076\u5c14\u4e70\u4e00\u6b21\u5f69\u7968\uff0c\u5012\u4e5f\u7b97\u4e86\uff1b\u5982\u679c\u4f60\u4e00\u5929\u5230\u665a\u4e0d\u65ad\u4e70\u5f69\u7968\uff0c\u5c31\u80af\u5b9a\u4f1a\u4e8f\u5f88\u591a\u94b1\uff08\u4e0a\u4f8b\u662f\u6bcf200\u6b21\u4e8f100\u5143\uff09\u3002\n<\/p>\n<p>\n\t\u603b\u4e4b\uff0c\u671f\u671b\u503c\u662f\u8861\u91cf\u5f69\u7968\u6536\u76ca\u7684\u4e00\u4e2a\u5173\u952e\u6307\u6807\u3002\n<\/p>\n<h2>\n\t\u4e8c\u3001\u9a6c\u8428\u8bf8\u585e\u5dde\u7684 WinFall \u5f69\u7968<br \/>\n<\/h2>\n<p>\n\t\u7f8e\u56fd\u9a6c\u8428\u8bf8\u585e\u5dde\u6709\u4e00\u4e2a\u5f69\u7968\u54c1\u79cd\uff0c\u53eb\u505a WinFall\u3002\u5b83\u7684\u89c4\u5219\u5f88\u7b80\u5355\uff1a1\u523048\u91cc\u9762\uff0c\u4f60\u731c6\u4e2a\u6570\u5b57\uff0c\u731c\u4e2d\u5c31\u6709\u5956\u3002\n<\/p>\n<blockquote>\n<ul>\n<li>\n\t\t\t\u56db\u7b49\u5956\uff086\u4e2a\u731c\u4e2d2\u4e2a\uff09\uff1a\u5956\u91d12\u5143\n\t\t<\/li>\n<li>\n\t\t\t\u4e09\u7b49\u5956\uff086\u4e2a\u731c\u4e2d3\u4e2a\uff09\uff1a\u5956\u91d15\u5143\n\t\t<\/li>\n<li>\n\t\t\t\u4e8c\u7b49\u5956\uff086\u4e2a\u731c\u4e2d4\u4e2a\uff09\uff1a\u5956\u91d1150\u5143\n\t\t<\/li>\n<li>\n\t\t\t\u4e00\u7b49\u5956\uff086\u4e2a\u731c\u4e2d5\u4e2a\uff09\uff1a\u5956\u91d14000\u5143\n\t\t<\/li>\n<li>\n\t\t\t\u7279\u7b49\u5956\uff086\u4e2a\u731c\u4e2d6\u4e2a\uff09\uff1a\u5956\u91d1\u6c60\u5269\u4f59\u7684\u5168\u90e8\u5956\u91d1\n\t\t<\/li>\n<\/ul>\n<\/blockquote>\n<p>\n\t\u6709\u4e00\u671f\uff0c\u4e00\u5171\u5356\u51fa\u4e86930\u4e07\u5f20\u5f69\u7968\uff0c\u5176\u4e2d\u7279\u7b49\u5956\u4e00\u4e2a\uff0c\u5956\u91d1100\u4e07\u7f8e\u5143\uff0c\u4e00\u7b49\u5956238\u4e2a\uff0c\u4e8c\u7b49\u595611625\u4e2a\uff0c\u4e09\u7b49\u595619.8\u4e07\u4e2a\uff0c\u56db\u7b49\u5956136.8\u4e07\u4e2a\u3002\n<\/p>\n<p>\n\t\u8ba1\u7b97\u53ef\u77e5\uff0c\u8fd9\u79cd\u5f69\u7968\u7684\u671f\u671b\u503c\u662f0.798\u5143\u3002\n<\/p>\n<blockquote>\n<p>\n\t\t\u671f\u671b\u503c =&nbsp;<br \/>\n\t\t\u3000\u3000100\u4e07 * ( 1 \/ 930\u4e07) +&nbsp;<br \/>\n\t\t\u3000\u30004000 * ( 238 \/ 930\u4e07) +&nbsp;<br \/>\n\t\t\u3000\u3000150 * (11625 \/ 930\u4e07) +&nbsp;<br \/>\n\t\t\u3000\u30005 * (19.8\u4e07 \/ 930\u4e07) +&nbsp;<br \/>\n\t\t\u3000\u30002 * (136.8\u4e07 \/ 930\u4e07 )&nbsp;<br \/>\n\t\t\u3000\u3000= 0.798\n\t<\/p>\n<\/blockquote>\n<p>\n\t\u6bcf\u5f20\u5f69\u7968\u7684\u4ef7\u683c\u662f2\u5143\uff0c\u53ef\u662f\u5e73\u5747\u6536\u76ca\u53ea\u67090.798\u5143\uff0c\u8fde\u4e00\u534a\u90fd\u4e0d\u5230\uff0c\u53ef\u89c1\u8fd9\u79cd\u5f69\u7968\u662f\u975e\u5e38\u4e0d\u5212\u7b97\u7684\u3002\u56e0\u6b64\u6ca1\u6709\u5438\u5f15\u529b\uff0c\u8d2d\u4e70\u8fd9\u79cd\u5f69\u7968\u7684\u6c11\u4f17\u4e0d\u65ad\u51cf\u5c11\u3002\n<\/p>\n<p>\n\t\u5dde\u653f\u5e9c\u5f88\u7740\u6025\uff0c\u56e0\u4e3a\u653f\u5e9c\u4ece\u5f69\u7968\u62bd\u621020%\uff08\u6bcf\u5f200.4\u5143\uff09\u3002\u5982\u679c\u9500\u552e\u91cf\u51cf\u5c11\uff0c\u653f\u5e9c\u7684\u6536\u76ca\u4e5f\u4f1a\u51cf\u5c11\u3002\u4e8e\u662f\uff0c\u653f\u5e9c\u4e3a\u4e86\u589e\u52a0\u8fd9\u79cd\u5f69\u7968\u7684\u5438\u5f15\u529b\uff0c\u51b3\u5b9a\u4fee\u6539\u5f69\u7968\u89c4\u5219\u3002\n<\/p>\n<h2>\n\t\u4e09\u3001\u65b0\u89c4\u5219<br \/>\n<\/h2>\n<p>\n\t\u65b0\u7684\u89c4\u5219\u662f\uff0c\u5982\u679c\u5f53\u671f\u6ca1\u6709\u7279\u7b49\u5956\uff08\u6ca1\u4eba\u731c\u4e2d\uff16\u4e2a\u6570\u5b57\uff09\uff0c\u90a3\u4e48\u5956\u91d1\u4f1a\u5206\u914d\u7ed9\u4e00\u7b49\u5956\u3001\u4e8c\u7b49\u5956\u3001\u4e09\u7b49\u5956\u7684\u5f97\u4e3b\uff0c\u5404\u5956\u9879\u65b0\u7684\u4e2d\u5956\u91d1\u989d\u5982\u4e0b\u3002\n<\/p>\n<blockquote>\n<ul>\n<li>\n\t\t\t\u4e00\u7b49\u5956\uff086\u4e2d5\uff09\uff1a50000\u5143\n\t\t<\/li>\n<li>\n\t\t\t\u4e8c\u7b49\u5956\uff086\u4e2d4\uff09\uff1a2385\u5143\n\t\t<\/li>\n<li>\n\t\t\t\u4e09\u7b49\u5956\uff086\u4e2d3\uff09\uff1a60\u5143\n\t\t<\/li>\n<\/ul>\n<\/blockquote>\n<p>\n\t\u8fd8\u662f\u4f7f\u7528\u524d\u9762\u7684\u4e2d\u5956\u7387\uff0c\u8ba1\u7b97\u671f\u671b\u503c\u3002\n<\/p>\n<blockquote>\n<p>\n\t\t\u671f\u671b\u503c =&nbsp;<br \/>\n\t\t\u3000\u300050000 * ( 238 \/ 930\u4e07) +&nbsp;<br \/>\n\t\t\u3000\u30002385 * (11625 \/ 930\u4e07) +&nbsp;<br \/>\n\t\t\u3000\u300060 * (19.8\u4e07 \/ 930\u4e07) +&nbsp;<br \/>\n\t\t\u3000\u3000= 5.53\n\t<\/p>\n<\/blockquote>\n<p>\n\t\u6bcf\u5f20\u5f69\u7968\u7684\u4ef7\u683c\u8fd8\u662f2\u5143\uff0c\u4f46\u662f\u671f\u671b\u503c\u53d8\u6210\u4e865.53\u5143\u3002\u8d2d\u4e70\u8fd9\u79cd\u5f69\u7968\u5c31\u53d8\u5f97\u975e\u5e38\u5212\u7b97\uff0c\u5927\u91cf\u8d2d\u4e70\u7684\u8bdd\uff0c \u53ef\u4ee5\u5f97\u52302.5\u500d\u7684\u6536\u76ca\u3002\u4e4b\u6240\u4ee5\u671f\u671b\u503c\u5927\u4e8e\u5f69\u7968\u7684\u6210\u672c\uff0c\u662f\u56e0\u4e3a\u5956\u91d1\u6c60\u8fd8\u5305\u542b\u524d\u671f\u5269\u4f59\u7684\u5956\u91d1\u3002\n<\/p>\n<p>\n\t\u9ebb\u7701\u7406\u5de5\u5b66\u9662\u7684\u4e00\u4e2a\u5b66\u751f\uff0c\u53d1\u73b0\u4e86\u8fd9\u4e00\u70b9\u3002\u4ed6\u51d1\u4e865000\u5143\u8d2d\u4e70\u5f69\u7968\uff0c\u7ed3\u679c\u4e2d\u4e86\u5c06\u8fd115000\u5143\uff01\n<\/p>\n<h2>\n\t\u56db\u3001\u5982\u4f55\u9009\u62e9\u53f7\u7801\uff1f<br \/>\n<\/h2>\n<p>\n\t\u73b0\u5728\u6211\u4eec\u77e5\u9053\uff0c\u65b0\u89c4\u5219\u7684\u5f69\u7968\u662f\u6709\u5229\u53ef\u56fe\u7684\uff0c\u53ef\u4ee5\u5927\u91cf\u8d2d\u4e70\u3002\u4f46\u662f\uff0c\u8fd8\u6709\u4e00\u4e2a\u95ee\u9898\uff0c\u5e94\u8be5\u600e\u4e48\u9009\u62e9\u53f7\u7801\uff0c\u624d\u80fd\u4fdd\u8bc1\u6536\u76ca\uff1f\u4e5f\u5c31\u662f\u8bf4\uff0c48\u4e2a\u53f7\u7801\u91cc\u9762\uff0c\u4f60\u5e94\u8be5\u9009\u62e9\u54ea6\u4e2a\u53f7\u7801\uff0c\u624d\u80fd\u6536\u76ca\u6700\u5927\u5316\uff1f\n<\/p>\n<p>\n\t\u6bd5\u7adf\u4f60\u4e0d\u80fd\u8d2d\u4e70\u6240\u6709\u5f69\u7968\uff0c\u56e0\u4e3a\u5f69\u7968\u7684\u6536\u76ca\u6765\u81ea\u6ca1\u4e2d\u5956\u7684\u90a3\u4e9b\u4eba\u3002\u4f60\u53ea\u80fd\u8d2d\u4e70\u4e00\u90e8\u5206\u5f69\u7968\uff0c\u8bbe\u6cd5\u4f7f\u5f97\u81ea\u5df1\u8d2d\u4e70\u7684\u53f7\u7801\u6709\u6700\u5927\u7684\u4e2d\u5956\u53ef\u80fd\u3002\n<\/p>\n<p>\n\t\u4e3a\u4e86\u7b80\u5316\u601d\u8003\uff0c\u8ba9\u6211\u4eec\u8003\u8651\u4e00\u79cd\u7b80\u5355\u7684\u60c5\u51b5\u30021\u52307\u91cc\u9762\u731c\u4e09\u4e2a\u6570\u5b57\uff0c\u5956\u91d1\u5982\u4e0b\u3002\n<\/p>\n<blockquote>\n<ul>\n<li>\n\t\t\t\u731c\u4e2d3\u4e2a\uff1a\u5956\u91d16\u5143\n\t\t<\/li>\n<li>\n\t\t\t\u731c\u4e2d2\u4e2a\uff1a\u5956\u91d12\u5143\n\t\t<\/li>\n<li>\n\t\t\t\u731c\u4e2d1\u4e2a\uff1a\u65e0\u5956\u91d1\n\t\t<\/li>\n<\/ul>\n<\/blockquote>\n<p>\n\t\u4f60\u53ef\u4ee5\u540c\u65f6\u9009\u62e9\u4e03\u79cd\u7ec4\u5408\uff08\u5373\u8d2d\u4e70\u4e03\u5f20\u5f69\u7968\uff09\uff0c\u8bf7\u95ee\u5e94\u8be5\u5982\u4f55\u9009\u62e9\u53f7\u7801\uff1f\n<\/p>\n<h2>\n\t\u4e94\u3001\u7ec4\u5408\u6570\u516c\u5f0f<br \/>\n<\/h2>\n<p>\n\t\u9996\u5148\uff0c\u8ba9\u6211\u4eec\u8003\u8651\u4e00\u4e0b\uff0c1\u52307\u8fd9\u4e03\u4e2a\u6570\u5b57\u91cc\u9762\uff0c\u4e09\u4e2a\u6570\u5b57\u7684\u7ec4\u5408\u4e00\u5171\u6709\u591a\u5c11\u79cd\uff1f\u8fd9\u5728\u6570\u5b66\u91cc\u9762\uff0c\u53eb\u505a<a href=\"https:\/\/baike.baidu.com\/item\/%E7%BB%84%E5%90%88%E6%95%B0%E5%85%AC%E5%BC%8F\" target=\"_blank\">\u7ec4\u5408\u6570\u516c\u5f0f<\/a>\u3002\n<\/p>\n<blockquote>\n<p>\n\t\t\u7ec4\u5408\u6570\u516c\u5f0f\u662f\u6307\u4ece m \u4e2a\u4e0d\u540c\u5143\u7d20\u4e2d\uff0c\u53d6\u51fa n\uff08n &le; m\uff09\u4e2a\u5143\u7d20\u7684\u6240\u6709\u7ec4\u5408\u7684\u4e2a\u6570\uff0c\u7528\u7b26\u53f7 c(m, n) \u8868\u793a\u3002\n\t<\/p>\n<\/blockquote>\n<p>\n\t\u5b83\u7684\u8ba1\u7b97\u516c\u5f0f\u5982\u4e0b\u3002\n<\/p>\n<blockquote>\n<p>\n\t\tc(m, n) = m! \/ n! * (m &#8211; n)!\n\t<\/p>\n<\/blockquote>\n<p>\n\t\u4e0a\u9762\u516c\u5f0f\u4e2d\uff0c\u611f\u53f9\u53f7\u8868\u793a\u9636\u4e58\uff0c\u6bd4\u5982<code>4!<\/code>&nbsp;\u7b49\u4e8e<code>4 * 3 * 2 * 1<\/code>&nbsp;\u3002\n<\/p>\n<p>\n\t\u6309\u7167\u4e0a\u9762\u7684\u5b9a\u4e49\uff0c\u4e03\u4e2a\u6570\u5b57\u91cc\u9762\u7684\u4e09\u4e2a\u53f7\u7801\u7684\u7ec4\u5408\uff0c\u5171\u6709<code>c(7, 3)<\/code>\u4e2a\u3002\n<\/p>\n<blockquote>\n<p>\n\t\tc(7, 3) = 7! \/ 3! * (7 &#8211; 3)! = 35\n\t<\/p>\n<\/blockquote>\n<p>\n\t\u8fd9\u5c31\u662f\u8bf4\uff0c\u4e09\u4e2a\u6570\u5b57\u7684\u7ec4\u5408\u5171\u6709 35 \u79cd\u3002\u6211\u4eec\u53ef\u4ee5\u628a\u5b83\u4eec\u5168\u90e8\u5217\u51fa\u6765\u3002\n<\/p>\n<blockquote>\n<p>\n\t\t123 124 125 126 127&nbsp;<br \/>\n\t\t134 135 136 137&nbsp;<br \/>\n\t\t145 146 147&nbsp;<br \/>\n\t\t156 157&nbsp;<br \/>\n\t\t167&nbsp;<br \/>\n\t\t234 235 236 237&nbsp;<br \/>\n\t\t245 246 247&nbsp;<br \/>\n\t\t256 257&nbsp;<br \/>\n\t\t267&nbsp;<br \/>\n\t\t345 346 347&nbsp;<br \/>\n\t\t356 357&nbsp;<br \/>\n\t\t367&nbsp;<br \/>\n\t\t456 457&nbsp;<br \/>\n\t\t467&nbsp;<br \/>\n\t\t567\n\t<\/p>\n<\/blockquote>\n<p>\n\t\u4e0a\u9762\u662f\u6240\u670935\u79cd\u53ef\u80fd\u7684\u7ec4\u5408\uff0c\u4f60\u5fc5\u987b\u4ece\u4e2d\u9009\u51fa7\u79cd\u3002\u8bf7\u95ee\u5e94\u8be5\u9009\u62e9\u54ea\u4e03\u79cd\uff1f\n<\/p>\n<h2>\n\t\u516d\u3001\u6700\u4f73\u7ec4\u5408<br \/>\n<\/h2>\n<p>\n\t\u7b54\u6848\u662f\u4e0b\u9762\u8fd9\u4e03\u79cd\u7ec4\u5408\u3002\n<\/p>\n<blockquote>\n<p>\n\t\t123 145 167 247 256 346 357\n\t<\/p>\n<\/blockquote>\n<p>\n\t\u8fd9\u4e03\u5f20\u5f69\u7968\u80fd\u8ba9\u4f60\u7684\u6536\u76ca\u6700\u5927\u5316\u3002\u56e0\u4e3a\uff0c\u4e0d\u7ba1\u6700\u540e\u7684\u4e2d\u5956\u53f7\u7801\u662f\u4ec0\u4e48\uff0c\u5b83\u4eec\u53ef\u4ee5\u4fdd\u8bc1\u4f60\u603b\u662f\u83b7\u5f976\u5143\u5956\u91d1\u3002\u5982\u679c\u4e2d\u5956\u53f7\u7801\u662f123\uff0c\u90a3\u4e48\u4f60\u62ff\u5230\u5934\u59566\u5143\uff1b\u5982\u679c\u4e2d\u5956\u53f7\u7801\u662f367\uff0c\u90a3\u4e48167\u3001346\u3001357\u8fd9\u4e09\u5f20\u5f69\u7968\u5404\u81ea\u731c\u4e2d\u4e24\u4e2a\u53f7\u7801\uff0c\u4f60\u4e2d\u4e86\u4e09\u4e2a\u5c0f\u5956\uff0c\u5956\u91d1\u603b\u989d\u4e5f\u662f6\u5143\u3002\n<\/p>\n<p>\n\t\u4ed4\u7ec6\u89c2\u5bdf\u8fd9\u4e03\u5f20\u5f69\u7968\uff0c\u4f60\u4f1a\u53d1\u73b0\u5b83\u4eec\u662f\u7cbe\u5fc3\u9009\u62e9\u7684\uff1a\u6bcf\u4e2a\u6570\u5b57\u90fd\u6b63\u597d\u51fa\u73b0\u4e09\u6b21\u3002\u8fd9\u5bfc\u81f4\u4f60\u8981\u4e48\u4e2d\u4e00\u4e2a\u5927\u5956\uff0c\u8981\u4e48\u4e2d\u4e09\u4e2a\u5c0f\u5956\u3002\n<\/p>\n<h2>\n\t\u4e03\u3001\u51e0\u4f55\u9009\u62e9\u6cd5<br \/>\n<\/h2>\n<p>\n\t\u8fd9\u4e03\u5f20\u5f69\u7968\u662f\u600e\u4e48\u9009\u51fa\u7684\u5462\uff1f\n<\/p>\n<p>\n\t<img decoding=\"async\" alt=\"\" src=\"http:\/\/www.ruanyifeng.com\/blogimg\/asset\/2018\/bg2018040802.gif\" title=\"\" \/>\n<\/p>\n<p>\n\t\u6709\u4e00\u79cd\u51e0\u4f55\u65b9\u6cd5\uff0c\u53ef\u4ee5\u975e\u5e38\u7b80\u5355\u5730\u505a\u5230\u8fd9\u4e00\u70b9\u3002\u4e03\u4e2a\u53f7\u7801\u5c31\u662f\u4e03\u4e2a\u70b9\uff0c\u628a\u5b83\u4eec\u7528\u76f4\u7ebf\u8fde\u8d77\u6765\uff0c\u6bcf\u6839\u7ebf\u4e0a\u53ea\u80fd\u6709\u4e09\u4e2a\u70b9\uff0c\u800c\u6bcf\u4e2a\u70b9\u51fa\u73b0\u5728\u4e09\u6839\u7ebf\u4e0a\u3002\u753b\u6210\u4e0a\u9762\u7684\u5f62\u72b6\uff0c\u5c31\u5f97\u5230\u4e86\u4e03\u6839\u7ebf\uff08\u5185\u90e8\u7684\u5706\u4e5f\u7b97\u4e00\u6839\u7ebf\uff09\u3002\u7136\u540e\uff0c\u8bb0\u5f55\u4e00\u4e0b\u6bcf\u6839\u7ebf\u4e0a\u7684\u53f7\u7801\uff0c\u5f88\u7b80\u5355\u5c31\u9009\u51fa\u4e86\u4e03\u5f20\u5f69\u7968\u3002\n<\/p>\n<p>\n\t\u66f4\u4e25\u8c28\u7684\u8bc1\u660e\u662f\u8fd9\u6837\u7684\uff1a1\u52307\u8fd9\u4e03\u4e2a\u6570\u5b57\uff0c\u5171\u670921\u79cd\u4e24\u4e2a\u6570\u5b57\u7684\u7ec4\u5408\uff08<code>C(7, 2)<\/code>\uff09\uff0c\u8fd9\u610f\u5473\u7740\u53ea\u8981\u628a\u8fd921\u79cd\u7ec4\u5408\u90fd\u4e70\u5168\u4e86\uff0c\u5c31\u53ef\u4ee5\u4fdd\u8bc1\u4e2d\u4e09\u4e2a\u5c0f\u5956\u3002\u56e0\u4e3a\u4e09\u4e2a\u4e2d\u5956\u53f7\u7801\u91cc\u9762\uff0c\u5171\u6709\u4e09\u79cd\u4e24\u4e2a\u6570\u5b57\u7684\u7ec4\u5408\uff08\u6bd4\u5982\u4e2d\u5956\u53f7\u7801\u662f367\uff0c\u90a3\u4e4836\u300137\u300167\u90fd\u53ef\u4ee5\u4e2d\u5c0f\u5956\uff09\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u7531\u4e8e\u6bcf\u5f20\u5f69\u7968\u5305\u542b\u4e09\u4e2a\u53f7\u7801\uff0c\u5373\u5305\u542b\u4e09\u79cd\u4e24\u4e2a\u6570\u5b57\u7684\u7ec4\u5408\uff0c\u90a3\u4e48\u6700\u5c11\u53ea\u8981\u4e707\u5f20\u5f69\u7968\u5c31\u80fd\u8986\u76d6\u5168\u90e821\u79cd\u7ec4\u5408\u3002\n<\/p>\n<h2>\n\t\u516b\u3001\u5b9e\u9645\u7684\u7b56\u7565<br \/>\n<\/h2>\n<p>\n\t\u56de\u5230\u524d\u9762\u7684\u95ee\u9898\uff0c\u9a6c\u8428\u8bf8\u585e\u5dde\u7684\u5f69\u7968\u5e94\u8be5\u600e\u4e48\u4e70\uff1f\n<\/p>\n<p>\n\t6\u4e2a\u53f7\u7801\u53ea\u8981\u731c\u4e2d4\u4e2a\uff0c\u5c31\u53ef\u4ee5\u4e2d\u4e8c\u7b49\u5956\uff0c\u53ea\u8981\u628a\u6240\u6709\u56db\u4e2a\u53f7\u7801\u7684\u7ec4\u5408\u90fd\u4e70\u4e86\uff0c\u5c31\u53ef\u4ee5\u786e\u4fdd\u4e2d15\u4e2a\u4e8c\u7b49\u5956\uff086\u4e2a\u4e2d\u5956\u53f7\u7801\u5171\u670915\u4e2a\u56db\u4e2a\u53f7\u7801\u7684\u7ec4\u5408<code>C(6, 4)<\/code>\uff09\u3002\n<\/p>\n<p>\n\t48\u4e2a\u53f7\u7801\u91cc\u9762\u5171\u6709194580\u79cd\u56db\u4e2a\u53f7\u7801\u7684\u7ec4\u5408\uff08<code>C(48, 4)<\/code>\uff09\uff0c\u65e2\u7136\u4e00\u5f20\u5f69\u7968\u5305\u542b15\u79cd\u7ec4\u5408\uff0c\u90a3\u4e48\u6700\u5c11\u8d2d\u4e7012972\u5f20\u5f69\u7968\u5c31\u591f\u4e86\uff08<code>194580 \/ 15 = 12972<\/code>\uff09\uff0c\u5c31\u53ef\u4ee5\u5305\u542b\u6240\u6709\u56db\u4e2a\u53f7\u7801\u7684\u7ec4\u5408\u3002\u5982\u679c\u6709\u5174\u8da3\u7684\u8bdd\uff0c\u4f60\u53ef\u4ee5\u5199\u4e00\u4e2a\u7a0b\u5e8f\uff0c\u7b97\u51fa\u5305\u542b\u8fd9194580\u79cd\u7ec4\u5408\u7684\u6240\u6709\u5f69\u7968\u3002\n<\/p>\n<p>\n\t\u8d2d\u4e7012972\u5f20\u5f69\u7968\uff0c\u9700\u898125944\u5143\uff08<code>12972 * 2<\/code>\uff09\u3002\u6839\u636e\u524d\u9762\u7684\u5956\u91d1\u989d\uff0c\u4e8c\u7b49\u5956\u7684\u5956\u91d1\u662f2385\u5143\uff0c\u90a3\u4e4815\u4e2a\u4e8c\u7b49\u5956\u5c31\u662f35775\u5143\uff08<code>2385 * 15<\/code>\uff09\u3002\u56e0\u6b64\uff0c\u6295\u516525944\u5143\uff0c\u53ef\u4ee5\u65e0\u98ce\u9669\u5730\u83b7\u5f9735775\u5143\u3002\u5f53\u7136\uff0c\u8fd9\u6837\u505a\u7684\u524d\u63d0\u662f\uff0c\u5f53\u671f\u6ca1\u4eba\u731c\u4e2d\u7279\u7b49\u5956\uff0c\u5426\u5219\u5956\u91d1\u5c31\u4f1a\u88ab\u5927\u5927\u7a00\u91ca\u3002<\/p>\n<!-- <audio autoplay=\"autoplay\" height=\"100\" width=\"100\" hidden=\"true\"><source src=\"https:\/\/c.coka.la\/orAvPR.mp3\" type=\"audio\/mp3\"\/><\/audio><img decoding=\"async\" src=\"https:\/\/images.weserv.nl\/?url=https:\/\/ws3.sinaimg.cn\/large\/8fa5dcfcgy1g4em3rzar5j20ib089ae0.jpg\" alt=\"\u4e1a\u4f59\u8349\u516c\u4f17\u53f7\"\/> --><p><!-- <img decoding=\"async\" src=\"https:\/\/raw.githubusercontent.com\/xmt1139057136\/xttblog\/master\/8fa5dcfcgy1g4em3rzar5j20ib089ae0.jpg\" alt=\"\u4e1a\u4f59\u8349\u516c\u4f17\u53f7\"\/>--><img decoding=\"async\" src=\"https:\/\/saas.51autoparts.cn\/api\/admin\/sys-file\/oss\/file?fileName=84db51f8561e448f9a4fda2eff0811f9.jpg\" alt=\"\u4e1a\u4f59\u8349\u516c\u4f17\u53f7\"\/><\/p><p>\u6700\u540e\uff0c\u6b22\u8fce\u5173\u6ce8\u6211\u7684\u4e2a\u4eba\u5fae\u4fe1\u516c\u4f17\u53f7\uff1a\u4e1a\u4f59\u8349\uff08yyucao\uff09\uff01<b>\u53ef\u52a0\u4f5c\u8005\u5fae\u4fe1\u53f7\uff1a<font color=\"red\">xttblog2<\/font>\u3002\u5907\u6ce8\uff1a\u201c1\u201d\uff0c\u6dfb\u52a0\u535a\u4e3b\u5fae\u4fe1\u62c9\u4f60\u8fdb\u5fae\u4fe1\u7fa4\u3002\u5907\u6ce8\u9519\u8bef\u4e0d\u4f1a\u540c\u610f\u597d\u53cb\u7533\u8bf7\u3002<\/b>\u518d\u6b21\u611f\u8c22\u60a8\u7684\u5173\u6ce8\uff01\u540e\u7eed\u6709\u7cbe\u5f69\u5185\u5bb9\u4f1a\u7b2c\u4e00\u65f6\u95f4\u53d1\u7ed9\u60a8\uff01\u539f\u521b\u6587\u7ae0\u6295\u7a3f\u8bf7\u53d1\u9001\u81f3532009913@qq.com\u90ae\u7bb1\u3002\u5546\u52a1\u5408\u4f5c\u4e5f\u53ef\u6dfb\u52a0\u4f5c\u8005\u5fae\u4fe1\u8fdb\u884c\u8054\u7cfb\uff01<\/p><p>\u672c\u6587\u539f\u6587\u51fa\u5904\uff1a<a href=\"https:\/\/www.xttblog.com\">\u4e1a\u4f59\u8349<\/a>\uff1a &raquo; <a href=\"https:\/\/www.xttblog.com\/?p=2669\">\u962e\u4e00\u5cf0\uff0c\u5f69\u7968\u7684\u6570\u5b66\u77e5\u8bc6<\/a><\/p><!-- <div class=\"bd-reward-stl\"><button id=\"bdRewardBtn\"><span><\/span><\/button><\/div> -->","protected":false},"excerpt":{"rendered":"<p>\u5f69\u7968\u600e\u6837\u624d\u80fd\u4e2d\u5956\uff1f \u7406\u8bba\u4e0a\uff0c\u53ea\u80fd\u9760\u8fd0\u6c14\u3002\u4f46\u662f\uff0c\u5982\u679c\u89c4\u5219\u8bbe\u8ba1\u5f97\u4e0d\u597d\uff0c\u5c31\u53ef\u4ee5\u94bb\u6f0f\u6d1e\u3002 2005\u5e742\u6708\uff0c\u7f8e\u56fd\u7684\u4e00\u4e2a\u5f69 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