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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
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
admin
2022-11-19
45
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C
4
3
;
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C
2
1
×C
2
1
×C
2
1
。
利用乘法原理得到:C
4
3
×(C
2
1
)
3
=32,所以B为正确答案。
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本试题收录于:
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