It is desired to place 4 identical chess rooks on a $5 \times 5$ chessboard. Since rooks can capture pieces in the same row or column, the placement rule is that at most one rook can be placed in each row and each column. Given that rooks are not placed in the first, third, and fifth squares of the first row (as shown by the crossed squares in the diagram), how many ways are there to place the rooks?\\
(1) 216\\
(2) 240\\
(3) 288\\
(4) 312\\
(5) 360