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20 July, 22:10

How many ways can a committee of nine be formed from 10 men and their wives, if no husband serves on it with his wife?

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  1. 21 July, 00:06
    0
    5120

    Step-by-step explanation:

    divide the entire group into 10 groups where each group has a man and his wife.

    number of ways of selecting 9 groups is 10C9 which equals 10 ways

    the number of ways selecting 1 person from a group is 2C1 = 2.

    So that means the number of ways of selecting 1 person from 9 groups is 2^9=512

    number of ways to form the committee is 10*2^9=5120
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