one line passing through 2 of n points
Source: 2007 Cuba MO 2.7
September 15, 2024
combinatoricscombinatorial geometrygeometry
Problem Statement
Prove that given points in the plane, not all aligned, there exists a line that passes through exactly two of them.[hide=original wording]Demostrar que dados n puntos en el plano, no todos alineados, existe una recta que pasa por exactamente dos de ellos.