MathDB
Two lines

Source: Iranian National Olympiad (3rd Round) 2002

October 2, 2006
analytic geometrycombinatorics proposedcombinatorics

Problem Statement

Find the smallest natural number nn that the following statement holds : Let AA be a finite subset of R2\mathbb R^{2}. For each nn points in AA there are two lines including these nn points. All of the points lie on two lines.