Do there exist $100$ straight lines on a plane such that they intersect each other in exactly $1999$ points?
Problem
Source: North Macedonian Mathematical Olympiad 1999 p4
Tags: combinatorial geometry, lines, points
Source: North Macedonian Mathematical Olympiad 1999 p4
Tags: combinatorial geometry, lines, points
Do there exist $100$ straight lines on a plane such that they intersect each other in exactly $1999$ points?