Too many lines there!

There are \(n\) straight lines in a plane such that no two of them are parallel and no three of them are concurrent. If the points of intersection of these lines are joined, then find the number of such new lines formed.

Notation:
\( \dbinom MN \) denotes the binomial coefficient, \( \dbinom MN = \dfrac{M!}{N!(M-N)!} \).

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