Solve the problem.
-There are 14 people in a club. A committee of 6 persons is to be chosen to represent the club at a conference. In how many ways can the committee be chosen?
A) 360,360
B) 2,162,160
C) 3003
D) 3429

Question

Quizplus · Accepted Answer

The number of ways to choose a committee of 6 persons out of 14 is calculated using the combination formula, which is $C(n, k) = \frac{n!}{k!(n-k)!}$. Here, $n = 14$ and $k = 6$, so $C(14, 6) = \frac{14!}{6!(14-6)!} = \frac{14!}{6!8!} = 3003$.

Solve the Problem. -There Are 14 People in a Club. a Committee of a Committee