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51问答网 > 请问12个数，每三个数一组，请问可以排多少组？

请问12个数，每三个数一组，请问可以排多少组？

2025-03-14 23:41:08

推荐回答（3个）

回答1：

C3 /12*C3/ 9*C3 /6*C3/3 除以A4/4
C3/12表示12个抽3个的组合.
=12*11*10*9*8*7*6*5*4/（3*2*1*3*2*1*3*2*1）/（4*3*2*1）
=15400.
为什么除以A4/4,是因为你总共有4组数,这里先取1,2,3,和先取4,5,6是计算重复了.

回答2：

可以排四组

回答3：

如果只是组合问题,就是12个里面随机选取三个即C12 3=12!/[(3!)(12-3)!]=12*11*10*9!/[3!9!] =12*11*10/(3*2*1)=220
但选取三个後有3!=6种排列,所以最多能排列220*6=1320组
或直接用排列公式 12!/(12-3)!=12*11*10*9!/9!=1320组

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