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4 Responses to 'what is the total number of sudoku arrangements possible?'

1. mathassignment.com - August 16th, 2009 at 3:39 am

   well there are 9 * 9 square, where each row can be filled in 9! ways, and each column 9!
   so I would say 9!*9!

2. creepy_mitch - August 17th, 2009 at 8:32 am

   This is not a well-defined question. If you’re talking about all arrangements such that the puzzle is solvable, excluding puzzles that are mirrors/rotations of other puzzles, the number would probably be in the millions, if not greater.

   The post above is wrong because there are only certain ways that the numbers can be inserted. If you have to violate those rules, you don’t have a valid puzzle.

3. Cormac D - August 17th, 2009 at 10:51 am

   9 squares up and down. 9 possibilites for each square.
   (9! is 9x8x7x6x5x4x3x2x1) so 9! multiplyed by 9! (or in maths terms9!*9! which is
   131,681,894,400
   One hundred and thirty one billion, sixhundred and eighty one million, eighthundred and nintey four thousand, four hundred and nothing. (BTW Sudoku has nothing got to do with maths it could be letters or symbold and was invented in europe Norway so switserland i think)

4. astros_rock_world - August 19th, 2009 at 4:11 am

   1 million or higher

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