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Problem of the Week

5 Points in a Plane
-------7/17/07-------

5 points in a plane are situated so that no two of the lines joining a pair of points are coincident, parallel or perpendicular. Through each point lines are drawn perpendicular to each of the lines through two of the other 4 points. Determine the maximum number of intersections these perpendiculars can have.



(IMO 1964)


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