2006-07-24 18:53:08 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
A LOT! I am addicted! I have to do the ones in the newspapers before going to work :(
2006-07-24 18:58:16 · answer #1 · answered by SAM 5 · 5⤊ 0⤋
Good question! I started looking at this problem a few months ago but decided that it is a complicated problem...
Every Sudoku puzzle is a Latin square of order 9, that is, consists of rows and column of permutations of the set {1, 2, ..., 9}. The number of such Latin squares is
1^9 * 2^8 * 3^7 * 4^6 * 5^5 * 6^4 * 7^3 * 8^2 * 9
or equivalently,
9! * 8! * 7! * ... * 2! * 1!
which is equal to 1834933472251084800000.
Not every Latin square is a valid Sudoku puzzle, because of the structure of 3x3 boxes. The number of Sudoku puzzles is therefore much less than the value I give here.
One thing is certain: the number of Sudoku puzzles can be divided by 9! = 362880. The reason is that if you exchange any two of the digits 1 through 9, you get another puzzle.
2006-07-24 20:58:17 · answer #2 · answered by dutch_prof 4 · 0⤊ 0⤋
Assuming you mean classic Sudoku, (i.e. 9 x 9, and no constraints like diagonals etc), this has been calculated as 6,670,903,752,021,072,936,960
2006-07-24 22:02:01 · answer #3 · answered by Stephan B 5 · 0⤊ 0⤋
basically an infinite amount, you could always add extra squares, theres puzzles now that have 16 things and the squares are hugeit gots from 1-9 and A-G....you could make it even more complex.....if you specify a certain amount of squares you could calculate a number
2006-07-24 18:56:27 · answer #4 · answered by esisso 2 · 0⤊ 0⤋
A lot of them i luv them on rainy days.
2006-07-25 02:41:14 · answer #5 · answered by dagirl10149 3 · 0⤊ 0⤋
more than wat u can count in ur life if u start counting 1,2,3... from now on.. may b not in all ur further births.. if any..
2006-07-24 19:00:39 · answer #6 · answered by Anonymous · 0⤊ 0⤋