SOLUTION: The senate in a certain state is comprised of 52 Republicans, 45 Democrats, and 3 Independants. How many committees can be formed if each must have 4 Republicans and 3 Democrats?

Question 437533: The senate in a certain state is comprised of 52 Republicans, 45 Democrats, and 3 Independants. How many committees can be formed if each must have 4 Republicans and 3 Democrats?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The senate in a certain state is comprised of 52 Republicans, 45 Democrats, and 3 Independants. How many committees can be formed if each must have 4 Republicans and 3 Democrats?
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# of ways to pick 4 Reps: 52C4
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# of ways to pick 3 Dems: 45C3
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Total # of committees = 52C4*45C3 = 3,841,587,750
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Cheers,
Stan H.
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