A game of chess is played on a board with 64 squares. generalize a formula for how many ways the rook could move from the top left to the bottom right corner. I know how to write the formula for example if it could only move 1 space at a time. the answer would be (M+N)C(N) M as in the number of ways left and N as in the the number of ways down. But how do you write a formula for if you could move say 1,2,3 etc spaces at a time. Would you write formulas for each one then add them together?
thanks