We are given eight rooks, five of which are red and three of which are blue. A) In how many ways can the eight rooks be placed on an 8 x 8 chessboard so that no two rooks can attack one another (differentcolor rooks cannot share the same row or column).B) In how many ways can the 8 rooks be placed on a 12 x 12 chessboard so that no two rooks can attack one another?