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  • Number of squares on a chess boards equals Option: 1 196Option: 2 204<di

Number of squares on a chess boards equals 

Option: 1

196


Option: 2

204


Option: 3

1140


Option: 4

1296


Answers (1)

best_answer

Number of squares will depend on the different sizes of the square,

For the square of size 1x1 : there are 8 options of selecting horizontal pair of lines, and 8 options of selecting vertical pair of lines: number of ways = 8 x 8 = 82

 For the square of size 2x2 : there are 7 options of selecting horizontal pair of lines, and 7 options of selecting vertical pair of lines: number of ways = 7 x 7 = 72

Similarly, squares of other sizes will be 62 , 52 , ......, 12

So, total number of squares are 12 + 22 + 32 + ...........+ 82 = 204 

 

Posted by

Sayak

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