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The United States Senate Appropriations Committee consists of 29 members; the Defense Subcommittee of the Appropriations...

The United States Senate Appropriations Committee consists of 29 members; the Defense Subcommittee of the Appropriations Committee consists of 19 members. Disregarding party affiliation or any special seats on the Subcommittee, how many different 19-member subcommittees may be chosen from among the 29 Senators on the Appropriations Committee?

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number of ways to choose 19 member subcommittees from total of 29 senators =(29C19)

=(29!/(10!*19!)) =20030010

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