Solve the problem.
-From 10 names on a ballot, a committee of 4 will be elected to attend a political national convention. How many different committees are possible?
A)5040
B)2520
C)151,200
D)210

Question

Quizplus · Accepted Answer

The number of different committees possible is calculated using the combination formula, which is $C(n, k) = \frac{n!}{k!(n-k)!}$, where $n$ is the total number of items (in this case, names), and $k$ is the number of items to choose (in this case, committee members). So, $C(10, 4) = \frac{10!}{4!(10-4)!} = \frac{10!}{4!6!} = 210$.

Solve the Problem. -From 10 Names on a Ballot, a Committee of 4