请教各位资深机友一道数学题 GWD 5-Q3

blackopyx

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?

A.     20

B.     40

C.     50

D.     80

E.      120

答案是D, 请教各位机友这题应该如何解答，先行谢过了。

documentwei

同问！！！！！！！！！！！

shawlen

老题了,

C(10,3)-C(5,1)C(8,1)

总数-选中一队的情况

或者C(5,3).2.2.2

解释：从5对中选3对，三队中每队有两种选择

documentwei

QUOTE:

以下是引用shawlen在2008-4-8 9:34:00的发言：

老题了,

C(10,3)-C(5,1)C(8,1)

总数-选中一队的情况

或者C(5,3).2.2.2

解释：从5对中选3对，三队中每队有两种选择

原来如此，谢过shawlen。