Good Triangles In a Convex 2014 Sided PolygonDiscrete Mathematics Level 5
Consider a convex polygon \(P\) with 2014 sides no four of whose vertices lie on a circle. A triangle with its vertices among the vertices of \(P\) is said to be good if all remaining 2011 vertices lie outside the circumcircle of that triangle. Find the number of good triangles.
Note: This problem is not original.