SOLUTION: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen from the deck. How many hands contain exactly 3 aces?

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Question 1110529: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen from the deck.
How many hands contain exactly 3 aces?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
If you have 3 aces in your hand, then there are 49 other cards that could make up the other 2 cards.
However since you're looking for exactly three ace hands, neither of the two remaining cards can be the last ace.
So there are only 48 possible cards remaining.
So in total there are 48%2A47=2256 possible outcomes for each three ace hand.
Since there are 4 aces you could have C(4,3) or 4 possible three ace hands.
Multiplying,
N=4%2A2256
N=9024