Question

http://trickiestofall.blogspot.com/2011/07/chessboard-square-and-rectangle-count.html

Answer 1

I asked the rectangle one a few days ago. Let's see if anyone remember the solution :)

Answer 2

do u?

Answer 3

My answer is \[\sum_{n=1}^8 \sum_{m=1}^8 (9-m)(9-n)\], which is 1296

Answer 4

i answered it!!! last time!!

Answer 5

There was a solution which didn't involve a summation though.

Answer 6

Do you remember the formula you posted Akshay?

Answer 7

[(n)(n+1)/2]^2 i believe

Answer 8

Indeed!

Answer 9

for n*n chessboard

Answer 10

dats 1296 for 8*8

Answer 11

And for a m*n chessboard, it expands to \[\frac{(m)(m+1)}{2}\times \frac{(n)(n+1)}{2}\]

Answer 12

yes.. right dalvoron..