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

Nathalie Sherman

Mathematics

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.

+1

Answers (1)

Know the Answer?

Kamora Malone · 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