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15 July, 02:00

In how many ways can 6 people be selected from 7 men and 8 women if the selection must have a majority of women?

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  1. 15 July, 03:44
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    Number of men = 7

    Number of women = 8

    Number of people to be selected = 6

    Condition: Women must be majority

    Options: 6 women, 0 men; 5 women, 1 man; 4 women, 2 men

    Number of ways = [ (8C6) * (7C0) ]+[ (8C5) * (7C1) ]+[ (8C4) * (7C2) ] = 28+392+1470 = 1890 ways
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