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100 Chords (Posted on 2005-11-11) Difficulty: 4 of 5
The numbers 1 to 200 are randomly assigned to points on the circumfrence of a circle. The points are divided into 100 pairs, with no point in two pairs. The two points in each pair are joined by a chord.

Is it always possible to choose 100 pairs so that no chords intersect and the difference between the values in any one pair does not exceed 150?

See The Solution Submitted by Brian Smith    
Rating: 4.0000 (3 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: 100% SolutionTristan2005-11-15 20:34:45
100% SolutionSteve Herman2005-11-15 12:10:23
Solution99% solutionCory Taylor2005-11-15 01:21:27
re(2): Solution? Spoiler?Steve Herman2005-11-12 12:09:31
re: Solution? Spoiler?Charlie2005-11-12 10:48:32
Almost adjacent pairs ideaLarry2005-11-12 09:55:51
172 and 173 -- SpoilerSteve Herman2005-11-11 19:49:13
Solution? Spoiler?Steve Herman2005-11-11 19:08:43
re: are they consecutive? - nevermindJosh706792005-11-11 14:19:22
Questionare they consecutive?Josh706792005-11-11 13:19:41
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