Solve the problem.
-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) 15,120
B) 126
C) 3024
D) 1512

Question

Quizplus · Accepted Answer

The number of ways to choose 4 names out of 9 for a committee is calculated using the combination formula, which is C(n, k) = n! / [k!(n-k)!], where n is the total number of items, k is the number of items to choose, and "!" denotes factorial. Here, n=9 and k=4, so C(9, 4) = 9! / [4!(9-4)!] = 9! / (4!5!) = (9*8*7*6) / (4*3*2*1) = 126.

Solve the Problem. -From 9 Names on a Ballot, a Committee of 4