IMO Shortlist 1969 problem 68
Dodao/la:
arhiva2. travnja 2012. 
Given
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points in the plane, no three of which are collinear, prove that we can choose
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points among them that form a convex quadrilateral.
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$(USS 5)$ Given $5$ points in the plane, no three of which are collinear, prove that we can choose $4$ points among them that form a convex quadrilateral.
Izvor: Međunarodna matematička olimpijada, shortlist 1969