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23 April, 06:33

A group of seven 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 women

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  1. 23 April, 06:41
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    Given 7 women, six men.

    (a) two women and two men

    C (7,2) * C (6,2)

    =7! / (2!5! * 6! / (2!4!)

    =21*15

    =315

    (b) any

    C (13,4) = 715

    (c) majority women

    C (7,4) + C (7,3) * C (6,1)

    =35 + (35*6)

    =245
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