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一道老狗题 谁能给出答案和解题思路

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发表于 2010-8-22 22:11:50 | 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?(答案:D)

A.        20
B.        40
C.        50
D.        80
E.        120
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沙发
发表于 2010-8-22 22:15:26 | 只看该作者
先从5对夫妇中抽3对。

然后三队每对有2个选择。

所以答案就是

板凳
发表于 2010-8-22 22:20:37 | 只看该作者
10!/(3!7!)- 5* 8!/(7!1!)
random choosing 3 people from 5 couples(10people)---all possibility
deduction  chance of include two people who are married to each other
5* other people randomly choosing 1 people from remainder 8 people
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