If there are n lines passing through a plane, such that no two lines are parallel, how many point of intersection will be there between the lines?
1 Answer
There are
Explanation:
We have
every pair of lines intersects in exactly one point.
How many ways can we select two lines out of
It is exactly
Hence, there are
However, this will be true only if not more than two lines pass through each point. For example, if three lines pass through same point, (none of them parallel), this will not hold and given assumptions stated in the question,