急問. 一道PP

oneseven

A committee of three people is to be chosen from four married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both on the committee?

A.  16

B.  24

C.  26

D.  30

E.  32

Answer : E

請教思路..謝謝

yygszhy

如果没有任何条件，从4 couples中选3个人，有C(3,8)种可能。

3个人中包含一对夫妇的可能性，先选出一对夫妇C(1,4),再选出另一个人C（1,6），两者相乘，24种可能

C(3,8)-24=32