### Brain Teasers

# Chess Games

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?

318 979 564 000

How many different possible moves can be made in the first ten moves by each player?

### Answer

169 518 829 100 544 000Hide Answer Show Answer

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## Comments

cant count that high

cant count that high

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?

CHECK IT OUT...

http://www.chess-poster.com/english/notes_and_facts/did_you_know.htm

http://www.chess-poster.com/english/notes_and_facts/did_you_know.htm

Woah

this is trivia, not a teaser

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).

Definitely trivia as the answer was computed through trial-and-error by a computer rather than calculated mathematically.

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