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## Chess Games

Math brain teasers require computations to solve.

 Puzzle ID: #19709 Fun: (1.89) Difficulty: (3) Category: Math Submitted By: AXTON

The number of possible ways of playing the first four moves for both players in a game of chess is
318 979 564 000
How many different possible moves can be made in the first ten moves by each player?

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 mnkelvr102 Dec 05, 2004 cant count that high mnkelvr102 Dec 05, 2004 cant count that high tsimkin Dec 06, 2004 would have been nice to see how that was derived. i took your first answer as a given, figured the moves were exponential, and raised it to the (10/4) power. could you please show how you came up with that answer? or is it something from a chess book? AXTON Dec 06, 2004 CHECK IT OUT... http://www.chess-poster.com/english/notes_and_facts/did_you_know.htm tiptoes007berbs Jan 20, 2005 Woah paul726 Dec 11, 2005 this is trivia, not a teaser lessthanjake789 Aug 26, 2006 the "problem" that makes this so much more than mathematical, aka you can't just do (10/4) power is that it is not constant exponential growth. Think of the first move - any of 8 pawns 2 different ways, or 2 knights different places, so 20 for each player, or 400 after just 1 move by each. Then, where it gets increasingly confusing is the ability to move either 7 pawns 2 ways and one pawn 1 way, possibly 2 knights two ways and then the rook, or the bishop to a multitude of spots, or the queen or king even. this opening of possibilities raises this problem to a much tougher degree than originally expected, but to be able to figure all that out is surely mathematically sound and "simple" but intense. wish there was a more simple explanation (maybe that link would help, havent checked it yet). javaguru Dec 22, 2008 Definitely trivia as the answer was computed through trial-and-error by a computer rather than calculated mathematically.