9.

The supervisor of a call center would like to assemble a committee of 8 people from a staff of 15 call center agents

How many different committees can be chosen?

1. 120

2. 6,435

3. 32,432,400 4.259,459,200

Number of different committees that can be chosen = 6435

So, option 2 is correct

Step-by-step explanation:

The supervisor wants to assemble a committee of 8 people from a staff of 15 call center agents.

To solve this we will make use of the combination formula which is:

C (n, r) = n!/[r! (n - r) !]

Where n is population (or available number of people who can sit on the committee) and k, the number selected)

In this question, n = 15 and r = 8

So, we have;

C (15,8) = 15!/[8! (15 - 8) !]

This gives;

C (15,8) = 15! / (8! * 7!)

C (15,8) = 1307674368000 / (40320 * 5040) = 6435

Number of different committees that can be chosen = 6435