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February 15th, 2012, 06:22 AM  #1 
Newbie Joined: Jan 2012 Posts: 5 Thanks: 0  A rather tricky puzzle. Can you solve it?
My maths teacher asked us to solve this puzzle today. I found it quite interesting, so I though I'd share it with you guys. I dunno if this is a piece of cake for you promathematicians, but I found it quite challenging. Anyway, here goes: You are give a chess board which has the upper left and bottom right squares torn out (Picture: http://srednja.hr/images/sah.gif ) Can that chessboard be covered in dominoes (2x1)? If yes, describe how, if not, explain why not. Good luck 
February 15th, 2012, 06:31 AM  #2 
Global Moderator Joined: Nov 2009 From: Northwest Arkansas Posts: 2,766 Thanks: 4  Re: A rather tricky puzzle. Can you solve it?
I solved it, started a website named Wikipedia, and copied my results there. All in the last ten minutes! http://en.wikipedia.org/wiki/Mutilated_ ... rd_problem 
February 15th, 2012, 08:50 AM  #3  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408  Re: A rather tricky puzzle. Can you solve it? Hello, mobilefreak10! This is a classic problem: The Mutilated Chessboard. And, as expected, it has a classic solution. Quote:
Drag your cursor between the asterisks. ** [color=beige] The chessboard has 32 black square and 32 white squares. Note that a pair of diagonally opposite squares have the same color. So, the multilated chessboard has 30 black squares and 32 white squares. A domino will always cover one black square and one white square. After you place 31 dominos (and cover 31 black squares and 31 white squares) there will be 2 white squares remaining, which canNOT be covered with one domino.[/color] **  

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