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I recently read that the Sudokus are just Latin Squares for $n = 9$. I know that proving the number of Latin Squares is considered difficult to generalize in terms of $n$. I would like to know if there is any method of proving the unique number of Sudokus taking a special case for $n = 9$.

The Wikipedia page on Latin Squares shows that for $n = 9 , number\ of\ possible\ Latin\ Squares = 5524751496156892842531225600$. I would like to know different possible methods used to arrive at the answer (e.g using Brute-force , or generating for the reduced Latin-Squares or any other combinatorial method).

PS: I have also read this question asked here and the paper referred by the answer. I am not able to understand why the method fails for $n>11$. Even the OEIS page does not have sequences for $n>11$

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