There are 8 female board members and 22 male board members. How many ways are there to make a committee of 20 board members if exactly 4 must be female?
You need to choose 4 out of 8 females and 16 out of 22 males.
Since order is not important, this is a combinations problem:
8C4 · 22C16 = 5 222 910 ways
