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# How many different ways are there to win at the game of solitaire without cheating of course (original version played with the standard 52 card deck, non computerized)?

looney_tunes

There are 52! (a bit over the number represented by an 8 and 67 zeroes) different starting arrangements for the cards. From Wikipedia: "For a 'standard' game of Klondike (of the form: Draw 3, Re-Deal Infinite, Win 52) the number of solvable games (assuming all cards are known) is between 82-91.5%. The number of unplayable games is 0.25% and the number of games that cannot be won is between 8.5-18%." (Klondike is the name of the game usually referred to as solitaire.) But there are often multiple options of moves that could lead to a final solution. The smallest number from these figures would be 82% of 52!, or roughly 65,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000.

http://en.wikipedia.org/wiki/Klondike_%28solitaire%29#Odds_of_winning

http://web.engr.oregonstate.edu/~afern/papers/solitaire.pdf

http://discuss.joelonsoftware.com/default.asp?joel.3.446403.10

 Jun 02 11, 5:03 AM

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