how many squares are there on a chessboard?
(hint: more than 64)

Question

how many squares are there on a chessboard? 
(hint: more than 64)

anonymous · Answer

In total there are 204 positions. this is the sum of the number of possible positions for all the different sized squares.

anonymous · Answer

correct :D $$n(n+1)(2n+1)(1/6)$$

anonymous · Answer

size 	horizontal positions 	vertical positions 	positons
1x1 	           8                         8                           64
2x2 	           7                       7                             49
3x3 	           6                         6                              36                
4x4 	          5                          5                               25
5x5 	           4                             4                           18
6x6 	           3                             3                              9
7x7 	            2                           2                              4
8x8 	          1                             1                            1
  	  	                                                  total 	204

anonymous · Answer

yes, and the formula also works and will work for any n by n chessboard

anonymous · Answer

kewl