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B. 4714. Given 2015 points in the plane, show that if every four of them form a convex quadrilateral then the points are the vertices of a convex 2015-sided polygon.

(4 points)

Deadline expired on 10 June 2015.

Statistics on problem B. 4714.
 80 students sent a solution. 4 points: 55 students. 3 points: 8 students. 2 points: 6 students. 1 point: 3 students. 0 point: 8 students.

• Problems in Mathematics of KöMaL, May 2015

•  Támogatóink: Morgan Stanley