# Math Help - Probability with nPr help

1. ## Probability with nPr help

I know how to do the basic problems that go along with nPr but this one I do not.

An organization consists of 11 men and 13 women. I want to form a committee with 6 members and i will select the committee at random. Find the probability that exactly 3 men are in the committee. Report your answer correct to 3 decimal places

How can i solve this?

2. This uses nCr.

The total number of ways is firstly 24C6 = 134596

To get 3 men, you will use 11C3 = 165 ways
And any other women, 13C3 = 286 ways

Probability = $\dfrac{165 \times 286}{134596} = \dfrac{2145}{6118}$