A committee of two people is to be chosen from three 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?  Choose the correct choice
A) 4
B) 8
C) 12
D) 16
E) 32
Each couple can send only one representative to the committee. Let's see in how many ways we can choose 2 couples (as there should be 2 members) out of 3 to send only one representatives to the committee: 3C2=3.   But each of these 2 couples can send two persons (husband or wife): 2*2=2^2=4.   Total # of ways: 3C2*2^2=12.   Answer: 12
<result>C</result>
A committee of two people is to be chosen from three 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?