SOLUTION: A group of ten women and six men must select a four-person committee. How many committees are possible if it must consist of the following? (a) two women and two men (b) any mi

Question 1191172: A group of ten women and six men must select a four-person committee. How many committees are possible if it must consist of the following?
(a) two women and two men
(b) any mixture of men and women
(c) a majority of men
Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!

(a) two women and two men

(10 women CHOOSE 2)x(6 men CHOOSE 2)

(b) any mixture of men and women

(16 people CHOOSE 4)

That's either (3 men and 1 woman) or (4 men)

(6 men CHOOSE 3)x(10 women CHOOSE 1) + (6 men CHOOSE 4)

You do the calculations.

Edwin

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