ZA-SAMO 2010 Problem 5
(a) A set of lines is drawn in the plane in such a way that they create more than 2010 intersections at a particular angle . Determine the smallest number of lines for which this is possible.
(b) Determine the smallest number of lines for which it is possible to obtain exactly 2010 such intersections.
Dataset text AI-MO AoPS. Quoted with source.
Solutions
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