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How many openings? (Posted on 2002-10-27) Difficulty: 5 of 5
How many possible openings are there in the game of chess, if we define an that opening consists of each player making their first 3 moves?

(With one move there are 400 possible openings)

See The Solution Submitted by James    
Rating: 3.5714 (14 votes)

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re(4): confused | Comment 5 of 17 |
(In reply to re(3): confused by levik)

> (assuming the 400 figure is correct for a one-move opening)

For the record, it is correct. It is possible to move any pawn or knight to one of two squares for the first two half-moves. No other pieces can move. ((8 + 2) x 2)² = 400. After that, it gets a bit harder to do in your head. On the second move, it is possible to move more pieces - sometimes pretty far.
  Posted by friedlinguini on 2002-10-28 11:06:13

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