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23 June, 04:40

A certain club contains 10 men and 10 women. a six-member committee consisting of 2 men and 4 women must be chosen from the club. how many committees are possible

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  1. 23 June, 05:07
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    Out of the men the number of ways you can choose 2 is 10C2 = (10*9) / (2*1)

    = 45 ways

    out of the women number of ways = 10C4 = (10*9*8*7) / (4*3*2*1)

    = 210 ways

    So the number of committees possible = 45 * 210 = 9450.
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