prep1-math 43 请教

yunli03

43.   5768-!-item-!-187;#058&004705

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 serve on the committee?

 

(A)  16

(B)  24

(C)  26

(D)  30

(E)  32

 

没有找到讨论贴,只能在麻烦大家了.

luckybindy

is 32 right?

C3 8 - C1 6 * C1 4

yunli03

是的,选32,可不可以麻烦你讲一下思路,不好意思,我排列组合很差,谢谢.

luckybindy

先求出总的可能性, 就是说8个人中任选3个, 再减去有两夫妇的可能, C1 4指四对夫妻中任选一.不知道说清楚了没

yunli03

谢谢你,我明白了.