Checkerboard and dominoes

From Math Puzzle Wiki
Revision as of 00:52, 24 November 2010 by Ocafaromy (talk | contribs)
Jump to: navigation, search


This Page Is Currently Under Construction And Will Be Available Shortly, Please Visit Reserve Copy Page


CLICK HERE


Puzzle

A regular checker board has 64 squares (arranged in an 8 by 8 square). You happen to have a set of dominoes, each of which can cover exactly 2 squares on the checker board. Suppose you cut out one square from opposite corners. Is it possible to cover this mutilated board with non-overlapping dominoes? That is, is there a way to pair up the remaining 62 squares so that the two squares in each pair are adjacent? Prove your answer.