MathDB
each lines of a set in a plane intersects exactly 15 other lines

Source: Czech-Polish-Slovak Junior Match 2016, team p3 CPSJ

January 20, 2020
combinatoricscombinatorial geometry

Problem Statement

On a plane several straight lines are drawn in such a way that each of them intersects exactly 1515 other lines. How many lines are drawn on the plane? Find all possibilities and justify your answer.
Poland