Question 5
10 lines are drawn on a plane. Find the maximum number of unique line segments that can be identified from these 10 lines on the plane. Note: the line segment identified must be between 2 points that already lie on one of the 10 lines and $AB$ is equivalent to $BA$.
**Editorial clarification.** Count segments whose two distinct endpoints are intersections of the drawn lines and whose entire segment lies on one of those lines. The ten lines are distinct; their arrangement may be chosen to maximize the count.
Enter one whole number, without units.
**Editorial clarification.** Count segments whose two distinct endpoints are intersections of the drawn lines and whose entire segment lies on one of those lines. The ten lines are distinct; their arrangement may be chosen to maximize the count.
Enter one whole number, without units.