# In a club there are 10 women and 7 men. A committee of 6 women and 4 men is to be chosen. How many different possibilities are there?

##### 1 Answer

May 14, 2017

7350 ways

#### Explanation:

We're choosing 6 women from a group of 10 and 4 men from a group of 7. We don't care in what order they are picked and so we'll use the combination formula, which is:

We'll multiply the results of the women and men together. And so we have: