How many sudoku patterns are in this world?

sudoku
tk2 asked:

I’m trying to use the nCr and nPr concept to calculate the sudoku patterns.But it really get confusing because of it’s rules.

Can someone help me with this?



Comments (3)    Posted in Mathematics    

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3 Responses to 'How many sudoku patterns are in this world?'

  1. Jay69 - October 10th, 2008 at 3:28 pm

    There are 6,670,903,752,021,072,936,960 possible variants of the classic 9×9 sudoku.

  2. Hello! - October 12th, 2008 at 6:51 pm

    I would start with possibilities for a line(9numbers stretching over 3 squares).

  3. genie.genine - October 14th, 2008 at 4:19 am

    You can’t do it just based on combinations and permutations. The number has only been calculated using lots of math and lots of computers.

    About the the 4th message down at the sudoku dragon link gives a short explanation. The message that starts out with the correct number 6,670,903,752,021,072,936,960. I think the number was given in a previous answer.

    The afjarvis link gives a really long explanation.

    By the way the big number is about 6.67×10^21. If you ignore different rotations, reflections, and different permutations of 1-9, there are only 5,472,730,538. ONLY about 5.5 billion!!!!

    So many Sudoku. So little time.


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