1The number of black squares in any row or column always will remain constant independant of whatever steps you take . Hence , I think that we can't obtain the result in question at any cost .
we are allowed to exchange any 2 rows and any 2 coloumns of a 8x8 chessboard whose squares are alternately painted black and white in the usual manner.By a sequence of such changes, can we obtain a board whose left half is black and right half is white?
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6 Answers
62No one?
Hint: Think of what is not changing.. and what needs to change if the configuration is to reach the final state..
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1I think we can.
If it were a square of 9X9, then it might be a problem
PS- I have no mathematical backing to my statement(s). I'm working on them.