A committee is to be formed by randomly choosing 3 people from 8 candidates. If Alice and Bob are candidates, what is the probability that Alice will be selected but Bob will not? Choose the correct choice from the following options:  A) 3/7  B) 9/28  C) 11/28  D) 15/56  E) 17/56
The total number of ways to form a committee is 8C3=56.   The number of committees which include Alice but not Bob is 6C2=15.   The probability that Alice is selected but Bob is not selected is 15/56.   The answer is 15/56.
<result>D</result>
A committee is to be formed by randomly choosing 3 people from 8 candidates. If Alice and Bob are candidates, what is the probability that Alice will be selected but Bob will not?