Latin Squares!

Computer Science Level 5

Given above is a \(5 \times 5\) grid. In how many ways can you fill the grid with numbers from \(1\) to \(5\) inclusive such that each number appears exactly once in each row and column?

Details and Assumptions

  • Every number from \(1\) to \(5\) inclusive must be used exactly five times in the entire grid.

  • An explicit example of such grid -


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