How many squares are in a sudoku puzzle?

Answer 1

Any given Sudoku puzzle has just one solution. This is so long as the puzzle already comes with at least 17 digits already placed on the grid. If there are any less than 17 digits, then the puzzle has more than one possible solution, and therefore cannot be solved properly. The total number of possible combinations of digits on a standard sudoku grid is 6,670,903,752,021,072,936,960. However it can be argued that many of these combinations could be the same as another, only backwards or rotated. Factoring out all logical duplicates, the number of possible combinations drops to 3,359,232. This is essentially the total number of possible sudoku puzzles. * My Friend Dev Oneal has completed an 'Impossible Level' Sudoku puzzle, as I checked the answer given by the "Auto-Solve" feature and compare with his solution and have found both was correct but with different pattern. Hence, it could have more than 1 correct answer.

Answer 2

About 81 little ones, (9 major ones) If one were not considering the major and minor squares, but the number of squares that could be drawn on a sudoku grid, then the answer is quite a bit more than 81. There are 81 1x1 squares There are 64 2x2 squares (draw the first one in the top left corner, and advance one square left. draw another. 8 this way. Then, do the same going down. 8 this way. 8*8 = 64) There are 49 3x3 squares by the method described above) Contining in this way, it's not hard to see that the answer is: 9*9 + 8*8 + 7*7 + 6*6 + 5*5 + 4*4 + 3*3 + 2*2 + 1*1 = the sum from i=1 to 9 of i*i, or a total of 285 total squares.

Answer 3

There are a total of 6,670,903,752,021,072,936,960 possible arrangements for a completed Sudoku grid.

However, by disregarding rotations, reflections and substitutions there are 'only' 5,472,730,538 essentially different arrangements.

Answer 4

There are N = 6670903752021072936960 6.671×1021 valid Sudoku grids. Taking out the factors of 9! and 722 coming from relabelling and the lexicographical reduction of the top row of blocks B2 and B3, and of the left column of blocks B4 and B7, this leaves 3546146300288 = 27×27704267971 arrangements, the last factor being prime.

Answer 5

The Sudoku puzzle is a mathematical puzzle that is solved by placing numbers one through nine in sequential order without causing any duplicate numbers in a row or column. The numbers are placed in order on a nine by nine square grid made up of three squares by three squares in each of the nine squares which totals 81 squares used in the game.

Answer 6

Any given Sudoku puzzle has just one solution. This is so long as the puzzle already comes with at least 17 digits already placed on the grid. If there are any less than 17 digits, then the puzzle has more than one possible solution, and therefore cannot be solved properly. The total number of possible combinations of digits on a standard sudoku grid is 6,670,903,752,021,072,936,960. However it can be argued that many of these combinations could be the same as another, only backwards or rotated. Factoring out all logical duplicates, the number of possible combinations drops to 3,359,232. This is essentially the total number of possible sudoku puzzles.

Answer 7

10000000

Answer 8

110000000