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.

Question

Mathematics

Cali Mueller

19 October, 10:07

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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Answers (1)

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Hugo Maynard · Answer 1

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