We say that a rook is “attacking” another rook on a chessboard if the two rooks are in the same row or column of the chessboard. Let n be the maximum number of rooks that can be placed on a 6 \times 6 chessboard such that each rook is attacking at most one other. How many ways can n rooks be placed on a 6 \times 6 chessboard such that each rook is attacking at most one other?