a homeowners board consisting of 6 people is to be selected

a homeowners board consisting of 6 people is to be selected from eight men and four women.

a. how many different ways can 6 poeple be chosen for this board?

b. find the probability of selecting three men and three women.

Solution

a) sum(COMBINATIONS(8,C4)*COMBINATIONS(4,C5)) =924

c4 c5   
2   4
3   3
4   2
5   1
6   0

b) 224/924 = 0.242424