{"id":1426,"date":"2025-04-16T05:00:00","date_gmt":"2025-04-16T05:00:00","guid":{"rendered":"https:\/\/jc777.\/?p=1426"},"modified":"2025-04-16T08:29:58","modified_gmt":"2025-04-16T08:29:58","slug":"539-permutations-and-combinations","status":"publish","type":"post","link":"https:\/\/jc777.\/539-permutations-and-combinations\/","title":{"rendered":"539\u7acb\u67f1\uff0d\u6559\u4f60\u7acb\u67f1\u6392\u5217\u7d44\u5408\u600e\u9ebc\u7b97\uff0c\u518d\u9644\u4e0a\u7acb\u67f1\u901f\u898b\u8868\u7d66\u4f60\uff01"},"content":{"rendered":"\n

\u5730\u4e0b539\u73a9\u6cd5\u773e\u591a\uff0c\u5176\u4e2d539\u7acb\u67f1<\/strong>\u73a9\u6cd5\u66f4\u662f\u9023\u78b0\u73a9\u6cd5\u7684\u5ef6\u4f38\u9ad8\u968e\u7248\uff0c\u60f3\u8981\u4ee5\u6700\u5c11\u7684\u9322\u4e2d\u6700\u9ad8\u7684\u734e\u91d1\u55ce\uff1f\u90a3\u4f60\u4e00\u5b9a\u8981\u4f86\u4e86\u89e3\u7acb\u67f1\u6392\u5217\u7d44\u5408<\/strong>\u600e\u9ebc\u7b97\uff0c\u5426\u5247\u4e00\u5b9a\u4e0d\u6703\u61c2\u7acb\u67f1\u73a9\u6cd5<\/strong>\u3002TU\u5a1b\u6a02\u57ce<\/a>\u5c0f\u7de8\u66f4\u662f\u8cbc\u5fc3\u5730\u66ff\u5404\u4f4d\u6574\u7406\u51fa\u7acb\u67f1\u901f\u898b\u8868<\/strong>\uff0c\u80fd\u5920\u4e00\u773c\u5c31\u80fd\u5920\u770b\u6e05\u4e86\u89e3\u81ea\u5df1\u6295\u6ce8\u7684\u865f\u78bc\u7d44\u6578\u3002<\/p>\n\n\n\n

539\u7acb\u67f1\u73a9\u6cd5\u662f\u4ec0\u9ebc\uff1f<\/h2>\n\n\n\n
\"539\u7acb\u67f1\u73a9\u6cd5\u662f\u4ec0\u9ebc\uff1f\"
539\u7acb\u67f1\u73a9\u6cd5\u662f\u4ec0\u9ebc\uff1f<\/figcaption><\/figure>\n\n\n\n

539\u7acb\u67f1\u73a9\u6cd5\u662f\u900f\u904e539\u9023\u78b0\u73a9\u6cd5<\/a>\u5ef6\u4f38\u51fa\u4f86\u7684\u9032\u968e\u9023\u78b0\u73a9\u6cd5\uff0c\u662f\u53ef\u4ee5\u8b93\u6211\u5011\u5728\u9078\u865f\u7684\u6642\u5019\uff0c\u5c07\u9078\u865f\u7684\u865f\u78bc\u9032\u884c\u5206\u985e\uff0c\u91cd\u65b0\u7d44\u5408\u7684\u65b9\u5f0f\u3002\u7279\u5225\u662f\u4f60\u5e0c\u671b\u67d0\u5169\u500b\u6216\u591a\u500b\u865f\u78bc\u770b\u597d\u958b\u734e\u4e0d\u6703\u540c\u6642\u51fa\u73fe\u7684\u60c5\u6cc1\uff0c\u5c31\u53ef\u4ee5\u7528539\u7acb\u67f1\u73a9\u6cd5\u4f86\u6e1b\u5c11\u6295\u6ce8\u7684\u6ce8\u6578\uff0c\u9084\u53ef\u4ee5\u9806\u4fbf\u7bc0\u7701\u4e00\u4e9b\u4e0d\u5fc5\u8981\u7684\u6295\u6ce8\u6210\u672c\u6d6a\u8cbb\u3002<\/p>\n\n\n\n

\u7acb\u67f1\u6392\u5217\u7d44\u5408\u6559\u5b78<\/h2>\n\n\n\n
\"\u7acb\u67f1\u6392\u5217\u7d44\u5408\u6559\u5b78\"
\u7acb\u67f1\u6392\u5217\u7d44\u5408\u6559\u5b78<\/figcaption><\/figure>\n\n\n\n

\u4f8b\u5982\uff0c\u4f60\u9078\u7684\u662f10,20,23,24\u9019\u56db\u500b\u865f\u78bc\uff0c\u4f46\u662f\u4f60\u4e0d\u5e0c\u671b23\u548c24\u9019\u5169\u500b\u865f\u540c\u6642\u51fa\u73fe\uff0c\u4e26\u4e14\u662f\u4e09\u661f\u7684\u7d44\u5408\u3002\u90a3\u9ebc\u5c31\u53ef\u4ee5\u63a1\u752810 x 20 x 23,24 \u7684\u7acb\u67f1\uff0c\u5f97\u5230\u7684\u865f\u78bc\u6703\u6709\u5169\u7d44\uff0810,20,23\uff09\u548c\uff0810,20,24\uff09\u3002\u5982\u679c\u4e0d\u63a1\u7528\u7acb\u67f1\u5c31\u6709\u56db\u7a2e\u7d44\u5408\uff0810,20,23\uff09\u3001\uff0810,20,24\uff09\u3001\uff0810,23,24\uff09\u3001\uff0820,23,24\uff09\uff0c\u901a\u904e\u7acb\u67f1\u53ef\u4ee5\u522a\u6389\uff0810,23,24\uff09\u3001\uff0820,23,24\uff09\u9019\u5169\u7d4423+24\u540c\u6642\u51fa\u73fe\u7684\u7d44\u5408\u3002\u7bc0\u7701\u4f60\u7684\u6295\u8cc7\u6210\u672c\u3002<\/p>\n\n\n\n

\"539\u7acb\u67f1\u6392\u5217\u7d44\u5408\u6559\u5b78\"
539\u7acb\u67f1\u6392\u5217\u7d44\u5408\u6559\u5b78<\/figcaption><\/figure>\n\n\n\n

\u7acb\u67f1\u901f\u898b\u8868\u61f6\u4eba\u5305<\/h2>\n\n\n\n

\u9019\u908aTU\u5c0f\u7de8\u4e5f\u76f8\u7576\u8cbc\u5fc3\u7684\u66ff\u5404\u4f4d\u6574\u7406\u51fa\u7acb\u67f1\u901f\u898b\u8868\uff0c\u4ee5\u4e0b\u5c31\u662f\u7acb\u67f1\u78b0\u901a\u904e\u4e0d\u540c\u7684\u7d44\u5408\u65b9\u5f0f\u4e4b\u5f8c\u4e0d\u540c\u7d44\u6578\u5c0d\u61c9\u7684\u7acb\u67f1\u901f\u898b\u8868\u3002<\/p>\n\n\n\n

\u4e09\u67f1\u78b0<\/td>\u4e8c\u661f<\/td>\u4e09\u661f<\/td>\u7e3d\u548c<\/td>\u56db\u67f1\u78b0<\/td>\u4e8c\u661f<\/td>\u4e09\u661f<\/td>\u56db\u661f<\/td>\u7e3d\u548c<\/td><\/tr>
1 x 1 x 1<\/strong><\/td>3<\/td>1<\/td>4<\/strong><\/td>1 x 1 x 1 x 1<\/strong><\/td>6<\/td>4<\/td>1<\/td>11<\/strong><\/td><\/tr>
1 x 1 x 2<\/strong><\/td>5<\/td>2<\/td>7<\/strong><\/td>1 x 1 x 1 x 2<\/strong><\/td>9<\/td>7<\/td>2<\/td>18<\/strong><\/td><\/tr>
1 x 1 x 3<\/strong><\/td>7<\/td>3<\/td>10<\/strong><\/td>1 x 1 x 1 x 3<\/strong><\/td>12<\/td>10<\/td>3<\/td>25<\/strong><\/td><\/tr>
1 x 1 x 4<\/strong><\/td>9<\/td>4<\/td>13<\/strong><\/td>1 x 1 x 1 x 4<\/strong><\/td>15<\/td>13<\/td>4<\/td>32<\/strong><\/td><\/tr>
1 x 1 x 5<\/strong><\/td>11<\/td>5<\/td>16<\/strong><\/td>1 x 1 x 1 x 5<\/strong><\/td>18<\/td>16<\/td>5<\/td>39<\/strong><\/td><\/tr>
1 x 2 x 2<\/strong><\/td>8<\/td>4<\/td>12<\/strong><\/td>1 x 1 x 2 x 2<\/strong><\/td>13<\/td>12<\/td>4<\/td>29<\/strong><\/td><\/tr>
1 x 2 x 3<\/strong><\/td>11<\/td>6<\/td>17<\/strong><\/td>1 x 1 x 2 x 3<\/strong><\/td>17<\/td>17<\/td>6<\/td>40<\/strong><\/td><\/tr>
1 x 2 x 4<\/strong><\/td>14<\/td>8<\/td>22<\/strong><\/td>1 x 1 x 2 x 4<\/strong><\/td>21<\/td>22<\/td>8<\/td>51<\/strong><\/td><\/tr>
1 x 2 x 5<\/strong><\/td>17<\/td>10<\/td>27<\/strong><\/td>1 x 1 x 2 x 5<\/strong><\/td>25<\/td>27<\/td>10<\/td>62<\/strong><\/td><\/tr>
1 x 3 x 3<\/strong><\/td>15<\/td>9<\/td>24<\/strong><\/td>1 x 1 x 3 x 3<\/strong><\/td>22<\/td>24<\/td>9<\/td>55<\/strong><\/td><\/tr>
1 x 3 x 4<\/strong><\/td>19<\/td>12<\/td>31<\/strong><\/td>1 x 1 x 3 x 4<\/strong><\/td>27<\/td>31<\/td>12<\/td>70<\/strong><\/td><\/tr>
1 x 3 x 5<\/strong><\/td>23<\/td>15<\/td>38<\/strong><\/td>1 x 1 x 3 x 5<\/strong><\/td>32<\/td>38<\/td>15<\/td>85<\/strong><\/td><\/tr>
1 x 4 x 4<\/strong><\/td>24<\/td>16<\/td>40<\/strong><\/td>1 x 1 x 4 x 4<\/strong><\/td>33<\/td>40<\/td>16<\/td>89<\/strong><\/td><\/tr>
1 x 4 x 5<\/strong><\/td>29<\/td>20<\/td>49<\/strong><\/td>1 x 1 x 4 x 5<\/strong><\/td>39<\/td>49<\/td>20<\/td>108<\/strong><\/td><\/tr>
1 x 5 x 5<\/strong><\/td>35<\/td>25<\/td>60<\/strong><\/td>1 x 1 x 5 x 5<\/strong><\/td>46<\/td>60<\/td>25<\/td>131<\/strong><\/td><\/tr>
2 x 2 x 2<\/strong><\/td>12<\/td>8<\/td>20<\/strong><\/td>1 x 2 x 2 x 2<\/strong><\/td>18<\/td>20<\/td>8<\/td>46<\/strong><\/td><\/tr>
2 x 2 x 3<\/strong><\/td>16<\/td>12<\/td>28<\/strong><\/td>1 x 2 x 2 x 3<\/strong><\/td>23<\/td>28<\/td>12<\/td>63<\/strong><\/td><\/tr>
2 x 2 x 4<\/strong><\/td>20<\/td>16<\/td>36<\/strong><\/td>1 x 2 x 2 x 4<\/strong><\/td>28<\/td>36<\/td>16<\/td>80<\/strong><\/td><\/tr>
2 x 2 x 5<\/strong><\/td>24<\/td>20<\/td>44<\/strong><\/td>1 x 2 x 2 x 5<\/strong><\/td>33<\/td>44<\/td>20<\/td>97<\/strong><\/td><\/tr>
2 x 3 x 3<\/strong><\/td>21<\/td>18<\/td>39<\/strong><\/td>1 x 2 x 3 x 3<\/strong><\/td>29<\/td>39<\/td>18<\/td>86<\/strong><\/td><\/tr>
2 x 3 x 4<\/strong><\/td>26<\/td>24<\/td>50<\/strong><\/td>1 x 2 x 3 x 4<\/strong><\/td>35<\/td>50<\/td>24<\/td>109<\/strong><\/td><\/tr>
2 x 3 x 5<\/strong><\/td>31<\/td>30<\/td>61<\/strong><\/td>1 x 2 x 3 x 5<\/strong><\/td>41<\/td>61<\/td>30<\/td>132<\/strong><\/td><\/tr>
2 x 4 x 4<\/strong><\/td>32<\/td>32<\/td>64<\/strong><\/td>1 x 2 x 4 x 4<\/strong><\/td>42<\/td>64<\/td>32<\/td>138<\/strong><\/td><\/tr>
2 x 4 x 5<\/strong><\/td>38<\/td>40<\/td>78<\/strong><\/td>1 x 2 x 4 x 5<\/strong><\/td>49<\/td>78<\/td>40<\/td>167<\/strong><\/td><\/tr>
2 x 5 x 5<\/strong><\/td>45<\/td>50<\/td>95<\/strong><\/td>1 x 2 x 5 x 5<\/strong><\/td>57<\/td>95<\/td>50<\/td>202<\/strong><\/td><\/tr>
3 x 3 x 3<\/strong><\/td>27<\/td>27<\/td>54<\/strong><\/td>1 x 3 x 3 x 3<\/strong><\/td>36<\/td>54<\/td>27<\/td>117<\/strong><\/td><\/tr>
3 x 3 x 4<\/strong><\/td>33<\/td>36<\/td>69<\/strong><\/td>1 x 3 x 3 x 4<\/strong><\/td>43<\/td>69<\/td>36<\/td>148<\/strong><\/td><\/tr>
3 x 3 x 5<\/strong><\/td>39<\/td>45<\/td>84<\/strong><\/td>1 x 3 x 3 x 5<\/strong><\/td>50<\/td>84<\/td>45<\/td>179<\/strong><\/td><\/tr>
3 x 4 x 4<\/strong><\/td>40<\/td>48<\/td>88<\/strong><\/td>1 x 3 x 4 x 4<\/strong><\/td>51<\/td>88<\/td>48<\/td>187<\/strong><\/td><\/tr>
3 x 4 x 5<\/strong><\/td>47<\/td>60<\/td>107<\/strong><\/td>1 x 3 x 4 x 5<\/strong><\/td>59<\/td>107<\/td>60<\/td>226<\/strong><\/td><\/tr>
3 x 5 x 5<\/strong><\/td>55<\/td>75<\/td>130<\/strong><\/td>1 x 3 x 5 x 5<\/strong><\/td>68<\/td>130<\/td>75<\/td>273<\/strong><\/td><\/tr>
4 x 4 x 4<\/strong><\/td>48<\/td>64<\/td>112<\/strong><\/td>1 x 4 x 4 x 4<\/strong><\/td>60<\/td>112<\/td>64<\/td>236<\/strong><\/td><\/tr>
4 x 4 x 5<\/strong><\/td>56<\/td>80<\/td>136<\/strong><\/td>1 x 4 x 4 x 5<\/strong><\/td>69<\/td>136<\/td>80<\/td>285<\/strong><\/td><\/tr>
4 x 5 x 5<\/strong><\/td>65<\/td>100<\/td>165<\/strong><\/td>1 x 4 x 5 x 5<\/strong><\/td>79<\/td>165<\/td>100<\/td>344<\/strong><\/td><\/tr>
5 x 5 x 5<\/strong><\/td>75<\/td>125<\/td>200<\/strong><\/td>1 x 5 x 5 x 5<\/strong><\/td>90<\/td>200<\/td>125<\/td>415<\/strong><\/td><\/tr>
\u3000<\/td>2 x 2 x 2 x 2<\/strong><\/td>24<\/td>32<\/td>16<\/td>72<\/strong><\/td><\/tr>
2 x 2 x 2 x 3<\/strong><\/td>30<\/td>44<\/td>24<\/td>98<\/strong><\/td><\/tr>
2 x 2 x 2 x 4<\/strong><\/td>36<\/td>56<\/td>32<\/td>124<\/strong><\/td><\/tr>
2 x 2 x 2 x 5<\/strong><\/td>42<\/td>68<\/td>40<\/td>150<\/strong><\/td><\/tr>
2 x 2 x 3 x 3<\/strong><\/td>37<\/td>60<\/td>36<\/td>133<\/strong><\/td><\/tr>
2 x 2 x 3 x 4<\/strong><\/td>44<\/td>76<\/td>48<\/td>168<\/strong><\/td><\/tr>
2 x 2 x 3 x 5<\/strong><\/td>51<\/td>92<\/td>60<\/td>203<\/strong><\/td><\/tr>
2 x 2 x 4 x 4<\/strong><\/td>52<\/td>96<\/td>64<\/td>212<\/strong><\/td><\/tr>
2 x 2 x 4 x 5<\/strong><\/td>60<\/td>116<\/td>80<\/td>256<\/strong><\/td><\/tr>
2 x 2 x 5 x 5<\/strong><\/td>69<\/td>140<\/td>100<\/td>309<\/strong><\/td><\/tr>
2 x 3 x 3 x 3<\/strong><\/td>45<\/td>81<\/td>54<\/td>180<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

539\u7acb\u67f1\u54ea\u88e1\u53ef\u4ee5\u6295\u6ce8\uff1f<\/h2>\n\n\n\n
\"539\u7acb\u67f1\u54ea\u88e1\u53ef\u4ee5\u6295\u6ce8\uff1f\"
539\u7acb\u67f1\u54ea\u88e1\u53ef\u4ee5\u6295\u6ce8\uff1f<\/figcaption><\/figure>\n\n\n\n

\u5730\u4e0b539\u73a9\u6cd5\u773e\u591a\uff0c\u5176\u4e2d539\u7acb\u67f1\u66f4\u662f\u8a31\u591a\u5f69\u7403\u9ad8\u624b\u559c\u6b61\u6295\u6ce8\u7684539\u73a9\u6cd5\uff0cTU\u5c0f\u7de8\u5c31\u8981\u5728\u9019\u908a\u63a8\u85a6\u7d66\u5404\u4f4dTU\u5a1b\u6a02\u57ce<\/a>\uff0c\u5176\u64c1\u6709\u591a\u500b\u5f69\u7968\u7cfb\u7d71\u53ef\u4ee5\u904a\u6232\uff0c\u4e5f\u4e0d\u7528\u64d4\u5fc3\u53ea\u80fd\u4e0b\u6ce8\u4e00\u500b\u5f69\u7968\u7cfb\u7d71\u6703\u6709539\u5c01\u724c\u60c5\u6cc1\u51fa\u73fe\u3002\u800c\u4e14539\u95dc\u76e4\u6642\u9593\u66f4\u662f\u5230\u665a\u4e0a8\u9ede29\u5206\u624d\u95dc\u76e4\uff0c\u8b93\u5404\u4f4d\u64c1\u6709\u500b\u5145\u88d5\u7684\u6642\u9593\u80fd\u5920\u601d\u8003\u6295\u6ce8539\u7acb\u67f1\u73a9\u6cd5\uff0c\u8d95\u7dca\u4e00\u8d77\u4f86TU\u5a1b\u6a02\u57ce<\/a>\u6295\u6ce8\u5730\u4e0b539\uff01<\/p>\n\n\n\n

\u95b1\u8b80\u66f4\u591a\uff1a<\/p>\n\n\n\n

\u4eca\u5f69539\u73a9\u6cd5\u653b\u7565 | \u5730\u4e0b539\u7acb\u67f1\u8207\u5831\u724c\u9ad8\u624b\u79d8\u8a23<\/a><\/p>\n\n\n\n

\u5468\u516c\u89e3\u5922\u5927\u5168 | \u5922\u5230\u86c7\u4ee3\u8868\u4ec0\u9ebc\uff1f\u89e3\u5922\u865f\u78bc539\u5e6b\u4f60\u514d\u8cbb\u5922\u5883\u5206\u6790<\/a><\/p>\n\n\n\n

\u7f8e\u570b\u52a0\u5dde\u5929\u5929\u6a02 | \u52a0\u4e0a539\u73a9\u6cd5\u96d9\u500d\u4e2d\u734e\uff0c\u5929\u5929\u6a02\u958b\u734e\u865f\u78bc\u67e5\u8a62<\/a><\/p>\n\n\n\n

TU\u5a1b\u6a02\u57ce\u4e0d\u51fa\u91d1\uff1f\uff01\u5e36\u4f60\u4e86\u89e3\u51fa\u91d1\u771f\u76f8\uff0c\u6253\u7834tu\u5a1b\u6a02\u57ce\u8a50\u9a19\u7591\u96f2<\/a><\/p>\n\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

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