1-33选7个数和为78有那些排列,不可以重复

1-33选7个数,和为78有那些排列,不可以重复

不论顺序的组合数为14917
考虑顺序的话,排列数为
14917再乘以7的阶乘得75181680

具体组合方式没有办法全部传上来,传一部分你看看了.规律自己总结:

{{1,2,3,4,5,31,32},
{1,2,3,4,6,30,32},
{1,2,3,4,7,29,32},
{1,2,3,4,7,30,31},
{1,2,3,4,8,28,32},
{1,2,3,4,8,29,31},
{1,2,3,4,9,27,32},
{1,2,3,4,9,28,31},
{1,2,3,4,9,29,30},
{1,2,3,4,10,26,32},
{1,2,3,4,10,27,31},
{1,2,3,4,10,28,30},
{1,2,3,4,11,25,32},
{1,2,3,4,11,26,31},
{1,2,3,4,11,27,30},
{1,2,3,4,11,28,29},
{1,2,3,4,12,24,32},
{1,2,3,4,12,25,31},
{1,2,3,4,12,26,30},
{1,2,3,4,12,27,29},
{1,2,3,4,13,23,32},
{1,2,3,4,13,24,31},
{1,2,3,4,13,25,30},
{1,2,3,4,13,26,29},
{1,2,3,4,13,27,28},
{1,2,3,4,14,22,32},
{1,2,3,4,14,23,31},
{1,2,3,4,14,24,30},
{1,2,3,4,14,25,29},
{1,2,3,4,14,26,28},
{1,2,3,4,15,21,32},
{1,2,3,4,15,22,31},
{1,2,3,4,15,23,30},
{1,2,3,4,15,24,29},
{1,2,3,4,15,25,28},
{1,2,3,4,15,26,27},
{1,2,3,4,16,20,32},
{1,2,3,4,16,21,31},
{1,2,3,4,16,22,30},
{1,2,3,4,16,23,29},
{1,2,3,4,16,24,28},
{1,2,3,4,16,25,27},
{1,2,3,4,17,19,32},
{1,2,3,4,17,20,31},
{1,2,3,4,17,21,30},
{1,2,3,4,17,22,29},
{1,2,3,4,17,23,28},
{1,2,3,4,17,24,27},
{1,2,3,4,17,25,26},
{1,2,3,4,18,19,31},
{1,2,3,4,18,20,30},
{1,2,3,4,18,21,29},
{1,2,3,4,18,22,28},
{1,2,3,4,18,23,27},
{1,2,3,4,18,24,26},
{1,2,3,4,19,20,29},
{1,2,3,4,19,21,28},
{1,2,3,4,19,22,27},
{1,2,3,4,19,23,26},
{1,2,3,4,19,24,25},
{1,2,3,4,20,21,27},
{1,2,3,4,20,22,26},
{1,2,3,4,20,23,25},
{1,2,3,4,21,22,25},
{1,2,3,4,21,23,24},
{1,2,3,5,6,29,32},
{1,2,3,5,6,30,31},
{1,2,3,5,7,28,32},
{1,2,3,5,7,29,31},
{1,2,3,5,8,27,32},
{1,2,3,5,8,28,31},
{1,2,3,5,8,29,30},
{1,2,3,5,9,26,32},
{1,2,3,5,9,27,31},
{1,2,3,5,9,28,30},
{1,2,3,5,10,25,32},
{1,2,3,5,10,26,31},
{1,2,3,5,10,27,30},
{1,2,3,5,10,28,29},
{1,2,3,5,11,24,32},
{1,2,3,5,11,25,31},
{1,2,3,5,11,26,30},
{1,2,3,5,11,27,29},
{1,2,3,5,12,23,32},
{1,2,3,5,12,24,31},
{1,2,3,5,12,25,30},
{1,2,3,5,12,26,29},
{1,2,3,5,12,27,28},
{1,2,3,5,13,22,32},
{1,2,3,5,13,23,31},
{1,2,3,5,13,24,30},
{1,2,3,5,13,25,29},
{1,2,3,5,13,26,28},
{1,2,3,5,14,21,32},
{1,2,3,5,14,22,31},
{1,2,3,5,14,23,30},
{1,2,3,5,14,24,29},
{1,2,3,5,14,25,28},
{1,2,3,5,14,26,27},
{1,2,3,5,15,20,32},
{1,2,3,5,15,21,31},
{1,2,3,5,15,22,30},
{1,2,3,5,15,23,29},
{1,2,3,5,15,24,28},
{1,2,3,5,15,25,27},
{1,2,3,5,16,19,32},
{1,2,3,5,16,20,31},
{1,2,3,5,16,21,30},
{1,2,3,5,16,22,29},
{1,2,3,5,16,23,28},
{1,2,3,5,16,24,27},
{1,2,3,5,16,25,26},
{1,2,3,5,17,18,32},
{1,2,3,5,17,19,31},
{1,2,3,5,17,20,30},
{1,2,3,5,17,21,29},
{1,2,3,5,17,22,28},
{1,2,3,5,17,23,27},
{1,2,3,5,17,24,26},
{1,2,3,5,18,19,30},
{1,2,3,5,18,20,29},
{1,2,3,5,18,21,28},
{1,2,3,5,18,22,27},
{1,2,3,5,18,23,26},
{1,2,3,5,18,24,25},
{1,2,3,5,19,20,28},
{1,2,3,5,19,21,27},
{1,2,3,5,19,22,26},
{1,2,3,5,19,23,25},
{1,2,3,5,20,21,26},
{1,2,3,5,20,22,25},
{1,2,3,5,20,23,24},
{1,2,3,5,21,22,24},
{1,2,3,6,7,27,32},
{1,2,3,6,7,28,31},
{1,2,3,6,7,29,30},
{1,2,3,6,8,26,32},
{1,2,3,6,8,27,31},
{1,2,3,6,8,28,30},
{1,2,3,6,9,25,32},
{1,2,3,6,9,26,31},
{1,2,3,6,9,27,30},
{1,2,3,6,9,28,29},
{1,2,3,6,10,24,32},
{1,2,3,6,10,25,31},
{1,2,3,6,10,26,30},
{1,2,3,6,10,27,29},
{1,2,3,6,11,23,32},
{1,2,3,6,11,24,31},
{1,2,3,6,11,25,30},
{1,2,3,6,11,26,29},
{1,2,3,6,11,27,28},
{1,2,3,6,12,22,32},
{1,2,3,6,12,23,31},
{1,2,3,6,12,24,30},
{1,2,3,6,12,25,29},
{1,2,3,6,12,26,28},
{1,2,3,6,13,21,32},
{1,2,3,6,13,22,31},
{1,2,3,6,13,23,30},
{1,2,3,6,13,24,29},
{1,2,3,6,13,25,28},
{1,2,3,6,13,26,27},
{1,2,3,6,14,20,32},
{1,2,3,6,14,21,31},
{1,2,3,6,14,22,30},
{1,2,3,6,14,23,29},
{1,2,3,6,14,24,28},
{1,2,3,6,14,25,27},
{1,2,3,6,15,19,32},
{1,2,3,6,15,20,31},
{1,2,3,6,15,21,30},
{1,2,3,6,15,22,29},
{1,2,3,6,15,23,28},
{1,2,3,6,15,24,27},
{1,2,3,6,15,25,26},
{1,2,3,6,16,18,32},
{1,2,3,6,16,19,31},
{1,2,3,6,16,20,30},
{1,2,3,6,16,21,29},
{1,2,3,6,16,22,28},
{1,2,3,6,16,23,27},
{1,2,3,6,16,24,26},
{1,2,3,6,17,18,31},
{1,2,3,6,17,19,30},
{1,2,3,6,17,20,29},
{1,2,3,6,17,21,28},
{1,2,3,6,17,22,27},
{1,2,3,6,17,23,26},
{1,2,3,6,17,24,25},
{1,2,3,6,18,19,29},
{1,2,3,6,18,20,28},
{1,2,3,6,18,21,27},
{1,2,3,6,18,22,26},
{1,2,3,6,18,23,25},
{1,2,3,6,19,20,27},
{1,2,3,6,19,21,26},
{1,2,3,6,19,22,25},
{1,2,3,6,19,23,24},

中间14520个结果省略了,

{5,7,9,10,11,17,19},
{5,7,9,10,12,13,22},
{5,7,9,10,12,14,21},
{5,7,9,10,12,15,20},
{5,7,9,10,12,16,19},
{5,7,9,10,12,17,18},
{5,7,9,10,13,14,20},
{5,7,9,10,13,15,19},
{5,7,9,10,13,16,18},
{5,7,9,10,14,15,18},
{5,7,9,10,14,16,17},
{5,7,9,11,12,13,21},
{5,7,9,11,12,14,20},
{5,7,9,11,12,15,19},
{5,7,9,11,12,16,18},
{5,7,9,11,13,14,19},
{5,7,9,11,13,15,18},
{5,7,9,11,13,16,17},
{5,7,9,11,14,15,17},
{5,7,9,12,13,14,18},
{5,7,9,12,13,15,17},
{5,7,9,12,14,15,16},
{5,7,10,11,12,13,20},
{5,7,10,11,12,14,19},
{5,7,10,11,12,15,18},
{5,7,10,11,12,16,17},
{5,7,10,11,13,14,18},
{5,7,10,11,13,15,17},
{5,7,10,11,14,15,16},
{5,7,10,12,13,14,17},
{5,7,10,12,13,15,16},
{5,7,11,12,13,14,16},
{5,8,9,10,11,12,23},
{5,8,9,10,11,13,22},
{5,8,9,10,11,14,21},
{5,8,9,10,11,15,20},
{5,8,9,10,11,16,19},
{5,8,9,10,11,17,18},
{5,8,9,10,12,13,21},
{5,8,9,10,12,14,20},
{5,8,9,10,12,15,19},
{5,8,9,10,12,16,18},
{5,8,9,10,13,14,19},
{5,8,9,10,13,15,18},
{5,8,9,10,13,16,17},
{5,8,9,10,14,15,17},
{5,8,9,11,12,13,20},
{5,8,9,11,12,14,19},
{5,8,9,11,12,15,18},
{5,8,9,11,12,16,17},
{5,8,9,11,13,14,18},
{5,8,9,11,13,15,17},
{5,8,9,11,14,15,16},
{5,8,9,12,13,14,17},
{5,8,9,12,13,15,16},
{5,8,10,11,12,13,19},
{5,8,10,11,12,14,18},
{5,8,10,11,12,15,17},
{5,8,10,11,13,14,17},
{5,8,10,11,13,15,16},
{5,8,10,12,13,14,16},
{5,8,11,12,13,14,15},
{5,9,10,11,12,13,18},
{5,9,10,11,12,14,17},
{5,9,10,11,12,15,16},
{5,9,10,11,13,14,16},
{5,9,10,12,13,14,15},
{6,7,8,9,10,11,27},
{6,7,8,9,10,12,26},
{6,7,8,9,10,13,25},
{6,7,8,9,10,14,24},
{6,7,8,9,10,15,23},
{6,7,8,9,10,16,22},
{6,7,8,9,10,17,21},
{6,7,8,9,10,18,20},
{6,7,8,9,11,12,25},
{6,7,8,9,11,13,24},
{6,7,8,9,11,14,23},
{6,7,8,9,11,15,22},
{6,7,8,9,11,16,21},
{6,7,8,9,11,17,20},
{6,7,8,9,11,18,19},
{6,7,8,9,12,13,23},
{6,7,8,9,12,14,22},
{6,7,8,9,12,15,21},
{6,7,8,9,12,16,20},
{6,7,8,9,12,17,19},
{6,7,8,9,13,14,21},
{6,7,8,9,13,15,20},
{6,7,8,9,13,16,19},
{6,7,8,9,13,17,18},
{6,7,8,9,14,15,19},
{6,7,8,9,14,16,18},
{6,7,8,9,15,16,17},
{6,7,8,10,11,12,24},
{6,7,8,10,11,13,23},
{6,7,8,10,11,14,22},
{6,7,8,10,11,15,21},
{6,7,8,10,11,16,20},
{6,7,8,10,11,17,19},
{6,7,8,10,12,13,22},
{6,7,8,10,12,14,21},
{6,7,8,10,12,15,20},
{6,7,8,10,12,16,19},
{6,7,8,10,12,17,18},
{6,7,8,10,13,14,20},
{6,7,8,10,13,15,19},
{6,7,8,10,13,16,18},
{6,7,8,10,14,15,18},
{6,7,8,10,14,16,17},
{6,7,8,11,12,13,21},
{6,7,8,11,12,14,20},
{6,7,8,11,12,15,19},
{6,7,8,11,12,16,18},
{6,7,8,11,13,14,19},
{6,7,8,11,13,15,18},
{6,7,8,11,13,16,17},
{6,7,8,11,14,15,17},
{6,7,8,12,13,14,18},
{6,7,8,12,13,15,17},
{6,7,8,12,14,15,16},
{6,7,9,10,11,12,23},
{6,7,9,10,11,13,22},
{6,7,9,10,11,14,21},
{6,7,9,10,11,15,20},
{6,7,9,10,11,16,19},
{6,7,9,10,11,17,18},
{6,7,9,10,12,13,21},
{6,7,9,10,12,14,20},
{6,7,9,10,12,15,19},
{6,7,9,10,12,16,18},
{6,7,9,10,13,14,19},
{6,7,9,10,13,15,18},
{6,7,9,10,13,16,17},
{6,7,9,10,14,15,17},
{6,7,9,11,12,13,20},
{6,7,9,11,12,14,19},
{6,7,9,11,12,15,18},
{6,7,9,11,12,16,17},
{6,7,9,11,13,14,18},
{6,7,9,11,13,15,17},
{6,7,9,11,14,15,16},
{6,7,9,12,13,14,17},
{6,7,9,12,13,15,16},
{6,7,10,11,12,13,19},
{6,7,10,11,12,14,18},
{6,7,10,11,12,15,17},
{6,7,10,11,13,14,17},
{6,7,10,11,13,15,16},
{6,7,10,12,13,14,16},
{6,7,11,12,13,14,15},
{6,8,9,10,11,12,22},
{6,8,9,10,11,13,21},
{6,8,9,10,11,14,20},
{6,8,9,10,11,15,19},
{6,8,9,10,11,16,18},
{6,8,9,10,12,13,20},
{6,8,9,10,12,14,19},
{6,8,9,10,12,15,18},
{6,8,9,10,12,16,17},
{6,8,9,10,13,14,18},
{6,8,9,10,13,15,17},
{6,8,9,10,14,15,16},
{6,8,9,11,12,13,19},
{6,8,9,11,12,14,18},
{6,8,9,11,12,15,17},
{6,8,9,11,13,14,17},
{6,8,9,11,13,15,16},
{6,8,9,12,13,14,16},
{6,8,10,11,12,13,18},
{6,8,10,11,12,14,17},
{6,8,10,11,12,15,16},
{6,8,10,11,13,14,16},
{6,8,10,12,13,14,15},
{6,9,10,11,12,13,17},
{6,9,10,11,12,14,16},
{6,9,10,11,13,14,15},
{7,8,9,10,11,12,21},
{7,8,9,10,11,13,20},
{7,8,9,10,11,14,19},
{7,8,9,10,11,15,18},
{7,8,9,10,11,16,17},
{7,8,9,10,12,13,19},
{7,8,9,10,12,14,18},
{7,8,9,10,12,15,17},
{7,8,9,10,13,14,17},
{7,8,9,10,13,15,16},
{7,8,9,11,12,13,18},
{7,8,9,11,12,14,17},
{7,8,9,11,12,15,16},
{7,8,9,11,13,14,16},
{7,8,9,12,13,14,15},
{7,8,10,11,12,13,17},
{7,8,10,11,12,14,16},
{7,8,10,11,13,14,15},
{7,9,10,11,12,13,16},
{7,9,10,11,12,14,15},
{8,9,10,11,12,13,15}}
温馨提示:答案为网友推荐,仅供参考
第1个回答  2008-12-30
78=2×3×13

可以选数凑13:1+12,2+11,3+10,4+9,5+8,6+7,13;
也可以凑26:25+1,24+2,23+3,22+4,21+5,20+6,19+7,18+8,17+9,16+10,15+11,14+12,26;
还可以凑39:33+6,32+7,31+8,30+9,29+10,28+11,27+12,26+13,25+14,24+15,23+16,22+17,21+18,20+19;

和为78,要7个数,可以在上述组里任选3个,只要里边的加数不重复,构成3×2+1=7的样式。

78=39+39=39+26+13=26+13+26+13

①13、1+12、24+2、23+3
②13、1+12、23+3、22+4
…… ……
13、2+10、25+1、23+3
13、2+10、……

①26、25+1、2+11、3+10
②26、25+1、3+10、4+9
…… ……
26、24+2、3+10、4+9
26、24+2、4+9、5+8……

这些都是比较规则的,如果有39,39是两个数相加,要凑成7个数的形式就需要把26或者13其中一个做成3个数相加的形式:33+6、23+2+1、4+9……
第2个回答  2008-12-30
如果你是为了买彩票的话告诉你有多少种你也不能直接打票。找个简单方法帮你解决。保你满意
第3个回答  2008-12-30
jhkhjkh

相关了解……

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