Ameya and his Chess Problem

Ameya is a chess wiz. On an eventful day he only places $3$ pieces - the Rook, Bishop and the King. Now to brush up the rules of moving the chess pieces. A chessboard contains $64$ square blocks organized into an $8 * 8$ table - half of the blocks being black and other half being white. A block is represented by a pair of integers ($x$,$y$) - the row number and the column number (we are not tak