In how many ways can a black and a white rook be placed on a chessboard so that they do not attack each other

#
The white rook can be placed on any of the 64 squares of the board, and from each of them, it attacks 15 squares (including the square it stands on). There remain 49 squares on which the black rook can be placed. Thus, the white and black rooks can be arranged in $64 \cdot 49=3136$ ways.

## Answer

3136 ways.