The Six Pawns
Unreviewed import — a classic from the public domain; its solution has not been machine-checked yet.
math
In how many different ways may I place six pawns on the chessboard so that there shall be an even number of unoccupied squares in every row and every column? We are not here considering the diagonals at all, and every different six squares occupied makes a different solution, so we have not to exclude reversals or reflections.
Solution
Commit an attempt to unseal the proof. Write your answer — right or wrong, thinking it through is the point.
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