Use the Combinations Formula
-From 9 names on a ballot, a committee of 4 will be elected to attend a political national convention. How many different committees are possible?
A) 126
B) 3024
C) 15,120
D) 1512

Question

Quizplus · Accepted Answer

The number of ways to choose 4 names out of 9 is calculated using the combinations formula, which is $C(n, k) = \frac{n!}{k!(n-k)!}$. Here, $n=9$ and $k=4$, so $C(9, 4) = \frac{9!}{4!(9-4)!} = \frac{9!}{4!5!} = 126$.