SOLUTION: How many five-card hands consisting of three cards of one face value and two cards of another face value can be dealt from a deck of 48 playing cards?

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Question 969145: How many five-card hands consisting of three cards of one face value and two cards of another face value can be dealt from a deck of 48 playing cards?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How many five-card hands consisting of three cards of one face value and two cards of another face value can be dealt from a deck of 48 playing cards?
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# of ways to select 3 cards of one face value: 13*4C3 = 13*4 = 52
# of ways to select 2 cards of another face value: 12*4C2 = 72
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# of ways to "succeed":: 52*72
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# of random 5-card hands:: 52C5
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Ans: P(condition) = (52*72)/52C5 = 0.00144
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Cheers,
Stan H.
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