Re: In how many ways can a square be identified in a chess board

The number of squares present in square matrix of size N*N =N*N+(N-1)*(N-1)+(N-2)*(N-2)+.....+1*1. For a Chess Board , the size is of: 8*8=8*8+7*7+6*6+5*5+4*4+3*3+2*2+1*1=64+49+36+25+16+9+4+1=204. This can be done in a simple way The above formula computes to sum of the squares of N natural numbers:...