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Sage is a mathematical software system, and this tag is intended for questions involving this software in a substantive way. This tag should hardly ever be the only tag of a question; typically there should be additional tags to indicate the mathematical content of the question. Please note that questions that are purely support-questions on Sage are not a good fit for this site.

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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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