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Applications of mathematics for the design and analysis of games and puzzles

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Number of collinear ways to fill a grid

Based on Zsombor Fehér's solution. Let $S$ be the set of $n \times m$ matrices that contain every integer from 1 to $nm$ exactly once. Clearly, $|S| = (nm)!$. Let $A_{s, t} \subset S$ (for $1 \leq s \ …
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