max no of planes determined by these n lines
Source: 2021 Dürer Math Competition Regional E+5 https://artofproblemsolving.com/community/c2773609_2021_
January 7, 2022
combinatorial geometrycombinatoricslinesplanes3D geometrygeometry
Problem Statement
There are distinct lines in three-dimensional space such that no two lines are parallel and no three lines meet at one point. What is the maximal possible number of planes determined by these lines?We say that a plane is determined if it contains at least two of the lines.