Select 3 people from 4 couples to form a group. Two people of one couple can not be selected at the same time. How many ways of

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问题 Select 3 people from 4 couples to form a group. Two people of one couple can not be selected at the same time. How many ways of selection are there?

选项 A、16
B、32
C、56
D、28
E、336

答案B

解析 我们分两步来做:
第一步:从4对人里面取出3对,共有方法C43
第二步:从选出的3对人中,每一对里面选择1个人,共有方法C21×C21×C21
利用乘法原理得到:C43×(C21)3=32,所以B为正确答案。
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