Assume you are placing dominoes on an 8x8 chessboard, such that each domino
will cover exactly two squares of the chessboard. Can you cover every square
of the chessboard with dominoes, without having any dominoes hanging off
the side of the board?
With a little thought, the answer to the above question should
obviously be "Yes." Now suppose, the two OPPOSITE corners of the
chessboard are removed.
Can the remaining 62 squares of the chessboard
be covered by dominoes without having any dominoes hanging off the board?