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

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(1959) (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.
RELATED QUESTIONS
Topics In Contemporary Math Permutations and Combinations QUESTION 9 In a... (answered by Boreal)

The following project uses the game of Guess Your Card. This is a game in which each... (answered by chessace)

The following project uses the game of Guess Your Card. This is a game in which each... (answered by solver91311)

A game uses 26 playing cards. Playing cards have four suits - diamonds (♢), clubs... (answered by Edwin McCravy)

in a game of poker, each player is firstly dealt 5 cards and then has an option to take... (answered by stanbon)

using combinations,calculate the number of each poker hand in a deck of cards.(A poker... (answered by solve_for_x)

You select three cards from a deck of 52 poker cards. What is the probability the cards... (answered by Fombitz)

You take the four Aces, four 2's, and four 3's from a standard deck of 52 cards, forming... (answered by ikleyn)

Poker is a common game in which players are dealt five cards from a deck of cards. It can (answered by stanbon)