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# How many poker hand combinations? Not permutations

Topic closed. 2 replies. Last post 11 years ago by johnph77.

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United States
Member #1003
January 8, 2003
169 Posts
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 Posted: June 2, 2006, 7:57 am - IP Logged

How many different poker hands (5 cards) are possible with a standard 52-card deck ?

Because the order of the cards does not matter, this question is asking for the number of combinations (not permutations) of five different objects selected from 52 objects. Using the mathematical formula for combinations:

52!             52!
-------------     =   -------    =
2,598,960
combinations       !(52 - 5)!               5! 47!

United States
Member #1003
January 8, 2003
169 Posts
Offline
 Posted: June 2, 2006, 8:05 am - IP Logged

52!                52!
-------------     =   -------    =    2,598,960 combinations
5!(52 - 5)!         5! 47!

CA
United States
Member #2987
December 10, 2003
832 Posts
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 Posted: June 2, 2006, 11:49 pm - IP Logged

Correct.

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http://members.fortunecity.com/johnph77/index.html

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Blessed Saint Leibowitz, keep 'em dreamin' down there.....

Next week's convention for Psychics and Prognosticators has been cancelled due to unforeseen circumstances.

=^.^=

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