Hi, Im building a large scale sliding block puzzle ( you know the ones that are usually on a 4 x 4 grid and you have to get them in the correct order), I want to make one thats got a 14 x 20 grid. ( 279 blocks in total - keep in mind that there must always be one empty space on the grid for the blocks to slide into.
What I want to know, is how many possible variations of block alignment there are. Im not much of a mathematician, but if somebody could show me through the working of it and possibly give me an (X) x (Y) = ? equation for it (incase the dimensions change) that would be really great.