MathDB
2016 Geo #5

Source:

December 30, 2016

Problem Statement

Nine pairwise noncongruent circles are drawn in the plane such that any two circles intersect twice. For each pair of circles, we draw the line through these two points, for a total of (92)=36\binom 92 = 36 lines. Assume that all 3636 lines drawn are distinct. What is the maximum possible number of points which lie on at least two of the drawn lines?
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