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2017 IGO Elementary P4

Source: 4th Iranian Geometry Olympiad (Elementary) P4

September 15, 2017
IGOIrangeometry

Problem Statement

P1,P2,…,P100P_1,P_2,\ldots,P_{100} are 100100 points on the plane, no three of them are collinear. For each three points, call their triangle clockwise if the increasing order of them is in clockwise order. Can the number of clockwise triangles be exactly 20172017?
Proposed by Morteza Saghafian
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