Question

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

Answer 1

Number of different committees that can be chosen = 6435

So,option 2 is correct

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