The rook is a chess piece that may move any number of spaces either horizontally or vertically per move. The maximum number of nonattacking rooks that may be placed on an chessboard is . This arrangement is achieved by placing the rooks along the diagonal (Madachy 1979). The total number of ways of placing nonattacking rooks on an board is (Madachy 1979, p. 47).
The rook is a chess piece that may move any number of spaces either horizontally or vertically per move. The maximum number of nonattacking rooks that may be placed on an
chessboard is
. This arrangement is achieved by placing the rooks along the diagonal (Madachy 1979). The total number of ways of placing
nonattacking rooks on an
board is
(Madachy 1979, p. 47).