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total no of intersections of 3 lines in plane (HOMC 2011 J Q1)

Source:

July 25, 2019
combinatorial geometrygeometry

Problem Statement

Three lines are drawn in a plane. Which of the following could NOT be the total number of points of intersections?
(A) 00 (B) 11 (C) 22 (D) 33 (E) They all could.