100 lines from each 5 some 3 concur prove that each line pass through 1
Source: 239 2001 J6
May 20, 2020
combinatoricslines
Problem Statement
On the plane 100 lines are drawn, among which there are no parallel lines. From any five of these lines, some three pass through one point. Prove that there are two points such that each line contains at least of of them.