Question

A committee of 6 people is to be selected randomly from a group of 11 men and 12 women. Find the number of possible committees if:
a) a particular woman is included
b) a particular man is not included
c) there are to be 4 women and 2 men

Answer 1

a) Once the particular woman is in, you need 5 more of the remaining 22 people
---> C(11,5) =

b) one man is out, so you only have 22 people, choose 6 of them
---> C(22,6) = ..

c) ----> C(12,4) x C(11,2) = ....