BMAD Posted July 11, 2013 Report Share Posted July 11, 2013 There is an 8x8 board where two diagonally opposing corners are removed making only 62 squares. You have only 31 dominoes which are 2x1 squares ( or 1x2). How can you place these dominoes so that the board is covered completely? Quote Link to comment Share on other sites More sharing options...
0 k-man Posted July 11, 2013 Report Share Posted July 11, 2013 It's impossible to cover such board with dominoes. Take a chess board and remove 2 opposing corners. These corners are of the same color (let's say black), so you have 32 white squares and 30 black squares remaining. Every domino piece must occupy 1 black and 1 white square, so to be able to cover the board entirely with dominoes there must be the same number of black and white squares on the board. Quote Link to comment Share on other sites More sharing options...
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BMAD
There is an 8x8 board where two diagonally opposing corners are removed making only 62 squares. You have only 31 dominoes which are 2x1 squares ( or 1x2). How can you place these dominoes so that the board is covered completely?
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