Question 712748: A group of 15 activities (7 Democrats, 6 Republicans, and 2 Independents) form a committee. The committee is to have 6 members on it with 2 representatives from each party. AFter the committee has been formed they will appoint a President, Vice President, and a Secretary. How many different committees can be formed?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A group of 15 activists (7 Democrats, 6 Republicans, and 2 Independents) form a committee. The committee is to have 6 members on it with 2 representatives from each party. AFter the committee has been formed they will appoint a President, Vice President, and a Secretary. How many different committees can be formed?
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Pick 2 Dems: 7C2 = 21 ways
Pick 2 Reps: 6C2 = 15 ways
Pick 2 Inds: 2C2 = 1 way
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# of possible committees: 21*15*1 = 315
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Cheers,
Stan H.
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