How many combinations of numbers are there in sudoko?

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david hutchinson

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david hutchinson asked the Naked Scientists:
how many permutations are there in a sudoko grid?

What do you think?
« Last Edit: 23/05/2011 11:01:04 by _system »


Offline imatfaal

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How many combinations of numbers are there in sudoko?
« Reply #1 on: 23/05/2011 12:46:33 »
There are 5,472,730,538 unique sudoko arrangements.  Each of these can be made into a thousand or so more by row changes, column changes and rotations (ie you can always swap row 1 and row 3 and have a valid solution).

It is currently thought you need at least 17 numbers to uniquely specify the grid

The Number Mysteries - Marcus Du Sautoy page 163

Thereís no sense in being precise when you donít even know what youíre talking about.  John Von Neumann

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