SOLUTION: QUESTION 9 In a variation of poker, each player receives four cards of which they can only use three cards. The remainder of their 5-card hand is built from community cards ava

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Question 1191570: QUESTION 9
In a variation of poker, each player receives four cards of which they can only use three cards. The remainder of their 5-card hand is built from community cards available for all players. How many four-card hands are possible from a standard deck of 52 cards?
Answer by CPhill(2303) About Me  (Show Source):
You can put this solution on YOUR website!
There are 270,725 possible four-card hands from a standard deck of 52 cards.

This is calculated using combinations, as the order in which the cards are dealt does not matter. The formula for combinations is:
nCr = n! / (r! * (n-r)!)
where n is the total number of items (52 cards), and r is the number of items to choose (4 cards).
So, 52C4 = 52! / (4! * 48!) = 270,725.