A certain club has 20 members. What is the ratio of the number of 5-member committees that can be formed from the members of the club to the number of 4-member committees that can be formed from the members of the club?

A. 16 to 1

B. 15 to 1

C. 16 to 5

D. 15 to 6

E. 5 to 4

C

Step-by-step explanation:

This is a combination question.

In the first instance, we select 5 from 20 and in the second case, we select 4 from 20.

The total number of ways to solve the first instance is 20C5 = 15504 ways

The total number of ways to solve the second instance is 20C4 = 4,845

The ratio of the first to the second scenario is 15,504/4,845 = 3.2 = 16 to 5