Parallel intersecting broken line 501 times
Source: Bundeswettbewerb Mathematik 1971, round 2 problem 4
June 14, 2006
probabilityinequalitiesexpected valuetriangle inequalitycombinatorics proposedcombinatorics
Problem Statement
Inside a square with side lengths a broken line of length without selfintersection is drawn.
Show that there is a line parallel to a side of the square that intersects the broken line in at least points.