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 V such committees are possible?
Choose the correct choice from the following answers:
A) 20  B) 40  C) V=50  D) V=80  E) V=120
Each couple can send only onerepresentativeto the committee. Let's see in how many ways we can choose 3 couples (as there should be 3 members) each to send onerepresentativeto the committee: 5C3=10.   But these 3 chosen couples can send two persons (either husband or wife): 2*2*2=2^3=8.   Total # of ways: 5C3*2^3=80.   Answer: V=80.
<result>D</result>
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 V such committees are possible?