A committee is to be formed by randomly choosing 3 people from 7 candidates. If Alice and Bob are candidates, what is the probability that Alice will be selected but Bob will not?  Pick one:
A) 2/7 B) 3/7 C) 2/35 D) 3/35 E) 4/35
The total number of ways to form a committee is 7C3=35.   The number of committees which include Alice but not Bob is 5C2=10.   The probability that Alice is selected but Bob is not selected is 10/35=2/7.   The answer is 2/7.
<result>A</result>
A committee is to be formed by randomly choosing 3 people from 7 candidates. If Alice and Bob are candidates, what is the probability that Alice will be selected but Bob will not?