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Regional Olympiad - FBH 2010 Grade 11 Problem 4

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2010

September 27, 2018
combinatoricsnoncollinear

Problem Statement

In plane there are nn noncollinear points A1A_1, A2A_2,...,AnA_n. Prove that there exist a line which passes through exactly two of these points