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17 March, 03:13

A judiciary committee of 5 is to be selected from a group of 5 democrats and 6 republicans, in such a way that there are at least two members from each party on the subcommittee. determine the number of ways that this subcommittee can be chosen.

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  1. 17 March, 03:18
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    What are the options? Note that "and" means multiply and "or" means addition

    (2 democrats and 3 republicans) OR (3 democrats and 2 republicans)

    5 x 4 x 6 x 5 x 4 + 5 x 4 x 3 x 6 x 5

    20 x 120 + 60 x 30

    2400 + 1800

    40,000

    Answer: 40,000
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