Chess Boxes...

The number of ways of selecting 2 square on a chess board such that they have a side in common is


The answer is 112.

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1 solution

Muhammad Hamza
Jul 17, 2014

the chess has 8*8 boxes

Each horizontal line has 8 boxes and there are seven ways such that two squares have a side in common.

Same in the vertical lines .

so the total number of ways are

2(7*8)=112

General formula for n*n square board: 2n(n-1)

Prince Loomba - 5 years, 4 months ago

just got a bit tricked....i put 120...

Lakshya Jain - 6 years, 4 months ago

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