There are 2025 rectangles in a 9x9 grid.
wordoku, sudoku using symbols, different sizes (4x4, 6x6, 9x9, 16x16) plus differently shaped puzzles and the "samurai" (5 interlocking 9x9 boxes) ----those are really REALLY HARD!!!
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. 9^9 x 8^9 x 7^9 x 6^9 x 5^9 x 4^9 x 3^9 x 2^9 x 1^9 = 362880^9
You can download the specially designed blank playing layout by Caro Eardley from the Win At Sudoku site for free; see the link below.
Traditionally Sudoku puzzles are 10 x 10 grids. These puzzles can be found in most broadsheet newspapers, in varying degrees of difficulty. Books of Sudoku can also be purchased from retailers such as Amazon.
A Sudoku can have a non-unique solution with only 4 empty cells. Here's an example: 003496758 587132469 694875213 008763945 946581327 375924186 761259834 852347691 439618572 If the first 2 cells are filled with 1,2 the 2 in row 4 must be 2,1, and vice-versa. So there can be up to 77 givens in a 9x9 sudoku without a unique solution.
6,670,903,752,021,072,936,960
9x9=81
9x9 = 81.
The mechanics involved in sudoku follow the principal, that any 3x3 grid can be filled with the numbers 1-9, every row can have 1-9, and every column can have 1-9, to eventually have a complete 9x9 grid filled with the numbers 1-9, where no numbers in any row, column, or 3x3 grid have two of the same number
T
T