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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!

      johnph77's avatar - avatar
      CA
      United States
      Member #2987
      December 10, 2003
      832 Posts
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      Posted: June 2, 2006, 11:49 pm - IP Logged

      Correct. 

      Listing:

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

      gl

      j

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

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