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2. Consider an m-by-n chessboard with m and n both odd. To fix the notation, suppose that the square in the upper left-hand corner is colored white. Show that if a white square is cut out board has a perfect cover by dominoes.
11. Use de la Loubere's method to construct a magic square of order 7.
14. Show that a magic square of order 3 must have a 5 in the middle position. Deduce that there are exactly 8 magic squares of order 3.
22. Construct a pair of orthogonal Latin squares of order 4.

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