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求解一道GWD数学题

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楼主
发表于 2011-1-9 21:49:05 | 只看该作者 回帖奖励 |倒序浏览 |阅读模式
If a committee of 3 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?


A.20
B.40
C.50
D.80
E.120
答案是D
而我得出的结果却是10*8*6=480
相差甚远啊,NN们能否一解释疑啊
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沙发
发表于 2011-1-9 22:16:28 | 只看该作者
480/3! = 80

The three people you selected as ABC would be the same composition as BCA, CAB, etc.
板凳
发表于 2011-1-9 22:18:56 | 只看该作者
5对选3对,   10
然后三对里各选1个   2*2*2
10*8=80

你这种有大量重复
如1a2a3a   和2a3a1a  岂不是一样吗
地板
 楼主| 发表于 2011-1-10 09:39:53 | 只看该作者
3X much ,I understand
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