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9 September, 03:06

A law firm has eight male and six female lawyers. A committee of five, two male lawyers and three female lawyers, is to be chosen to represent the firm at a conference. How many committees are possible?

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  1. 9 September, 03:11
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    The number of way we can choose 2 males out of 8 is combinations of:

    C (8,2) = 7*8/2 = 56 / (1*2) = 28

    to choose 3 females out of 6

    C (6,3) = 6*5*4 / (1*2*3) = 120/6=20

    the number of committees is = 28*20=560
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