Dominos on a Chess Board
Given a standard 8×8 chessboard, but 2 diagonal corners are removed.
We seek to cover the squares with dominos.
Each domino covers exactly two squares on the chess board.
You are not allowed to cover the same square twice.
Can you cover the remaining 62 squares with 31 dominos?
No, each domino must cover a white and a black square.
The number of white and black squares are not equal after removing 2 diagonal corners.