SOLUTION: A committee of five members is to be randomly selected from a group of nine freshman and seven sophomores. How many different committees of three freshmen and two sophomores can b
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Question 1127626: A committee of five members is to be randomly selected from a group of nine freshman and seven sophomores. How many different committees of three freshmen and two sophomores can be chosen?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A committee of five members is to be randomly selected from a group of nine freshman and seven sophomores. How many different committees of three freshmen and two sophomores can be chosen?
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# of 3 freshman groups = 9C3 = (9*8*7)/(1*2*3) = 3*4*7 = 84
# of 2 sophomore groups = 7C2 = (7*6)/(1*2) = 21
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Ans:: 84*21 = 1764
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Cheers,
Stan H.
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