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=(120!)/((120-5)!5!)=(120*119*118*117*116)/(5*4*3*2)=190578024\text{ ways}`

Therefore, the correct answer is 190578024