Question

Determine whether the following would use a permutation or combination, then determine the total number of outcomes.In how many ways can a committee of five people be chosen from a pool of 120 employees?

Answer 1

The Solution:

We are asked to find the number of ways a committee of 5 people can be selected from 120 people.

The Combination is to be used to determine the outcome.

Find the total number of outcomes.

$^{120}C_5=\frac{120!}{(120-5)!5!}=\frac{120\times119\times118\times117\times116}{5\times4\times3\times2}=190578024\text{ ways}$

Therefore, the correct answer is 190578024