A committee of two people is to be chosen from 5 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?	Options:
A) 16
B) 24
C) 26
D) 40
E) 32
One of the approaches:   Each couple can send only onerepresentativeto the committee. Let's see in how many ways we can choose 2 couples (as there should be 2 members) out of 5 to send only onerepresentativesto the committee: 5C2=10.   But each of these 2 couples can send two persons (husband or wife): 2*2=2^2=4.   Total # of ways: 5C2*2^2=40.   Answer: 40.
<result>D</result>
A committee of two people is to be chosen from 5 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?