The head has to be placed higher than the tail, and the head cannot be in the last slot

Problem 1: Snakes and Ladders Consider a regular 8 x 8 chessboard. The chessboard is to be used to play snakes and ladders, but there is an extra condition on how to place snakes on the chessboard: The head and tail of a snake must not occupy squares of the same color. Ladders remain unconstrained. In how many ways can we: (a) Place one snake