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Checkers trick (Posted on 2002-11-18) Difficulty: 2 of 5
How many squares can be drawn on a checkers board, given that these squares should consist of whole black-white squares (the ones that are already painted on the board)?

See The Solution Submitted by Raveen    
Rating: 3.7500 (4 votes)

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Solution Problem Solution With Explanation Comment 5 of 5 |
(In reply to answer by K Sengupta)

For a n*n board , we know that the total number of squares of any dimension is equal to Sum (i= 1 to n) (i^2)
= n(n+1)(2n+1)/6

A checkerboard is a 8*8 board. So, substituting n= 8, we obtain the required number of squares(of any dimension)
= 8*9*17/6 = 204.

  Posted by K Sengupta on 2007-05-15 04:37:28
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