The problem I'm attempting is fairly complicated in solving as there may be many ways to solve it, I just can't figure out a way. Here it goes. In a 2x2 grid, there are 6 possible paths from the top left corner to the bottom right corner without backtracking, how many possible paths are there in a 20x20 grid? I can't figure out either a formula or a way to maybe brute force a solution. All thoughts are welcome.