Question 454716: Find the number of possible 5-card hands that contain the cards specified. The cards are taken from a standard 52-card deck.
5 red cards.
4 spades and 1 card that is not a spade.
3 face cards (kings, queens, or jacks) and 2 cards that are not face cards.
I am having a difficult time figuring these out. Any help would be appreciated! :)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Find the number of possible 5-card hands that contain the cards specified. The cards are taken from a standard 52-card deck.
5 red cards.
Ans: 26C5 = 26!/[21!*5!] = 65780
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4 spades and 1 card that is not a spade.
Ans: [13C4*39C1] = 27885
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3 face cards (kings, queens, or jacks) and 2 cards that are not face cards.
Ans: 12C3*40C2 = 171,600
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Cheers,
Stan H.
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