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12

Part of 2017 Moldova Team Selection Test

Problems(1)

MDA 2017 TST 2nd combinatorics

Source: Moldova 2017 TST, day 3, B12

3/20/2017
There are 7575 points in the plane, no three collinear. Prove that the number of acute triangles is no more than 70%70\% from the total number of triangles with vertices in these points.
combinatorics