Question 140691
How many ways could you hold 5 cards in your hand if 2 of the cards must be aces and the other 3 must be alike? 
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pick the 2 aces: 4C2 = 6 ways
pick the 3 "alike" cards: 12*4C3 = 12*4 = 48 ways
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Total number of hands: 6*48 = 288
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Total number of permutations of those hands = 5!*288 = 34,560
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Cheers,
Stan H.