Question

A city council consiste of 8 democrats and 6 republicans. If a committee of 4 people is selected,find the probability of selecting 2 democrats and 2 republicans

Answer 1

Explanation:

8C2 * 6C2

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14C4

8C2 = 8*7/1 * 2 = 28

6C2 = 6*5 / 1*2 = 15

14C4 = 14*13 *12 * 11 / (1 * 2 * 3 * 4) = 1001

28 * 15 / 1001 = .4195