What I am asking is this. Given $n$ amount of lines, there are $m$ amount of intersection points. How many values of $m$ are there? Let me give an example, 5 lines in a plane. Is there a formula for this, and if so, proof?
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https://mathworld.wolfram.com/PlaneDivisionbyLines.html – Eric Towers Sep 08 '20 at 23:05
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@EricTowers I'm not looking for the division of planes, I'm looking for intersection points – Sep 08 '20 at 23:12
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See solution 2 at : https://www.cut-the-knot.org/proofs/LinesDividePlane.shtml – Eric Towers Sep 08 '20 at 23:15