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@ Chess Board

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1 @ Chess Board on Sun Mar 07, 2010 4:25 am


If 46 squares are selected at random from a 9*9 chess board and coloured red.Prove that there is atleast one 2*2 block of 4 squares of which atleast 3 are coloured red.

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2 Re: @ Chess Board on Sat Mar 13, 2010 3:22 am

the densest that one can go is having 5 row of red squares, each containing 9 squares each and separated by one row. That makes 45 squares. Now no matter where you put the 46th one, you will be creating 4 cells (2X2) which have 3 red squares each Smile

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3 @indranil on Tue Mar 23, 2010 3:55 pm



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