Question

There are 12 female board members and 18 male board members.

A) How many ways are there to make a committee of 16 board members?
B) How many ways are there to make a committee of 16 board members if exactly 7 must be female?

Answer 1

A.) 13

B.) one

Explanation:

A.) ways to make a commitee of 16 (female:male)

0:16, 1:15, 2:14, 3:13, 4:12, 5:11, 6:10, 7:9, 8:8, 9:7, 10:6, 11:5, 12:4

B.) the only way to make a commitee of 16 with exactly 7 females is

7:9 (female:male) because the numeber of females HAS to be 7 and 16people-7females=9males