Not the number of $$n$$'s; the number of new lines

There are $$n$$ straight lines in a plane, no two of which are parallel and no three of which pass through the same point. Their points of intersection are joined and the number of new lines thus introduced is given by $$\dfrac ab (n-c)(n-d)(n-e)(n-f)$$.

Find $$|a| + |b| + |c| + |d| + | e| + |f|$$.

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