1. The problem statement, all variables and given/known data How many ways can you place 8 rooks on a chess board so that no 2 rooks attack each other. Assume the rooks are identical. Chess board is 8 by 8. 3. The attempt at a solution To place the first rook I would have 64 choices. for the second rook I would have 49 choices because I would be limited to a 7 by 7 square. So the answer should be (64)(49)(36)(25)(16)(9)(4)(1). I dont think I need to divide by 8! because when I place the rooks that is already taken care of.