Chess Board

1.How many Squares in N*N Chess Board?

Ans :

(N * (N+1) * (2N+1)) / 6..

Example:

8*8 Chess Board : 8*9*17 / 6 = 204

2.How many Squares & Rectancles in N*N Chess Board ?

Ans :

Square of [(N*(N+1)) / 2]   ie.([(N*(N+1)) / 2] * [(N*(N+1)) / 2])

Example :

8*8 Chess Board :  square of (8*9/ 2) =1296

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