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IMO 1989 - Shortlist problems Question 17

IMO Shortlist · IMO 1989 - Shortlist problems

Question 17

(MON 1) Given seven points in the plane, some of them are connected by segments so that:
(i) among any three of the given points, two are connected by a segment;
(i) the number of segments is minimal.
How many segments does a figure satisfying (i) and (ii) contain? Give an example of such a figure.