1. two rooks on a 8 x 8 chessboard are in an attacking position if they lie on the same row or the same column. (6) how many ways can you place 8 identical rooks so that no two attack each other 7 (note since the rooks are identical, so interchanging two rooks does not count as a separate placement)? (ii) how many ways can you do this if you have 4 identical wooden and 4 identical marble rooks? (it) how many ways can you do this if all 8 rooks are different ?