8 Queens on a Chessboard

Chess composer Max Bezzel published the eight queens puzzle in 1848. A chess composer is a person who creates endgame studies or chess problems. Franz Nauck published the first solutions in 1850.

The eight queens puzzle asks if you can place eight chess queens on an 8×8 chessboard so that no two queens threaten each other. Therefore, no two queens share the same row, column, or diagonal.

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Using the combinations formula, ₆₄C₈, there are 4,426,165,368 (yes, that is over 4 billion) possible arrangements of eight queens on an 8×8 board, but there are only 92 solutions. Of these 92 solutions, many of them are just rotations or reflections, so there are just twelve basic solutions.