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  • Mathematics of Sudoku

    ajayk2

    Member

    Updated: Oct 25, 2024
    Views: 991
    If we take a completely blank 9x9 Sudoku, then in how many ways can we fill it? In other words, how many different solutions are there?
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  • ISHAN TOPRE

    Member • Mar 12, 2011

    It depends on how many filled boxes are present in that puzzle.There is no blank Sudoku puzzle.You always have some filled boxes in any given puzzle.
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  • ajayk2

    Member • Mar 12, 2011

    Yeah there's no blank Sudoku puzzle but supposing we have a blank 9x9 grid then we can fill it according to the Sudoku rules. Each row can be filled in 9! ways. And since there are 9 rows in total so the total number of ways would be (9!)^9. But this is not the answer since we also have to take care of each 3x3 smaller box so that it has digits from 1 to 9.
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