A committee of 3 people is to be chosen from the chairman and vice chairman of four different companies. What is the number of different committees that can be chosen if two people who work for the same company cannot both serve on the committee? Choose the correct answer:
A) 16	B) 24	C) 32	D) 34	E) 40
Each company can send only one representative to the committee. Let's see in how many ways we can choose 3 companies (as there should be 3 members) to send only one representatives to the committee: 4C3=4.   But these 3 chosen companies can send two persons (either chairman or vice chairman ): 2*2*2=2^3=8.   Total # of ways: 4C3*2^3=32.   Answer: 32.
<result>C</result>
A committee of 3 people is to be chosen from the chairman and vice chairman of four different companies. What is the number of different committees that can be chosen if two people who work for the same company cannot both serve on the committee?