A square of n units is divided into n^(2...

A square of n units is divided into `n^(2)` squares each of area 1 sq unit. Find the number of ways in which 4 points (out of `(n+1)^(2)` vertices of the squares) can be chosen so that they form the vertices of a square.

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The correct Answer is:

`(n^(2)(n+1))/(2)`

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