A rook in chess can move any number of spaces horizontally or vertically. (See Figure XXXXXXXXXXHow many ways are there to put one black rook and one white rook on an 8-by-8 chessboard so they can’t...

A rook in chess can move any number of spaces horizontally or vertically. (See Figure 9.15.) How many ways are there to put one black rook and one white rook on an 8-by-8 chessboard so they can’t capture each other (that is, neither can move onto the other’s square)?