Solve the problem.
-Find the number of three member committees that could be selected from the group of {Mary, Norman, Paula, Raymond, Sally} given that all club members are eligible to be members of the
Committee.
A)10
B)20
C)8
D)6

Question

Quizplus · Accepted Answer

The number of ways to select a 3-member committee from a group of 5 people is calculated using the combination formula $C(n, k) = \frac{n!}{k!(n-k)!}$, where $n$ is the total number of people and $k$ is the number of people to choose. Here, $n=5$ and $k=3$, so $C(5, 3) = \frac{5!}{3!(5-3)!} = \frac{5!}{3!2!} = \frac{120}{12} = 10$.

Solve the Problem. -Find the Number of Three Member Committees That Could Be