Quote:
Originally Posted by eric.segal1
On a chessboard of 64 small squares. In how many ways can u select two squares of the same dimension such that they have a common side?
168
228
288
348
114
puys m getting 248 as my answer. plz help me out with this problem.
ps: plz provide adequate explanation.
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m getting the answer as 228..
no of squares sharing a common side can be taken as the total no of common sides they share..
so..for squares of side one unit..no of common sides
=7*8 +7*8(no of horizontal+vertical common sides)
=112
similarly for squares of side 2 unit=5*7+5*7=70
3 unit=6*3+6*3=36
4 unit=5*1+5*1=10
total=112+70+36+10
=228