How many poker hand combinations? Not permutationsPrev TopicNext Topic

• Dr Pepper

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  January 8, 2003
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  Jun 2, 2006, 7:57 am

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  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!
• Dr Pepper

  United States
  Member #1,003
  January 8, 2003
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  Jun 2, 2006, 8:05 am

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                 52!                52!
           -------------     =   -------    =    2,598,960 combinations
          5!(52 - 5)!         5! 47!
• johnph77

  

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  December 10, 2003
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  Jun 2, 2006, 11:49 pm

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  Correct. 

  Listing:

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

  gl

  j

  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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