We want to select a committee of five members from a group of eight women and six men. The order of selection is irrelevant.

Question

We want to select a committee of five members from a group of eight women and six men. The order of selection is irrelevant.

How many committees can we make with Jack as committee chair? (Assume that only one member has that name!)

____ committees

Answer 1

(13 choose 4) =

13! / 4! 9! =

13*12*11*10

--------------

4*3*2

or

13*11*5 = 715