homonocturn asked:
A Sudoku-2 puzzle is similar to the usual Sudoku puzzle, except for the fact that it includes 16 squares on a 2*2 board, rather than the 9*9 one, and it’s played in the same way (of course you can only use numbers ranging from 1 to 4). I have estimated the possible results of a solved Sudoku-2 into 4*3*2*3*2*2*2 = 4!*3!*2!*2 = 576 but I have followed a heuristic method and I have not been able to find a way to prove it mathmatically. Is the result correct? And if it is, is there a way to prove it?
Note:
I have noticed that some of you have answered that there is only one way to fill a Sudoku-2 puzzle. This is true if you see it as a game, but my point is to find out how many possible outcomes are there if you fill an EMPTY Sudoku-2 (which means without the given numbers; doing it all by yourself). I hope this clarifies what I asked.
Bradley
