perplexus.info :: Geometry : 100 Chords

100 Chords (Posted on 2005-11-11)

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% Solution	Tristan	2005-11-15 20:34:45
100% Solution	Steve Herman	2005-11-15 12:10:23
99% solution	Cory Taylor	2005-11-15 01:21:27
re(2): Solution? Spoiler?	Steve Herman	2005-11-12 12:09:31
re: Solution? Spoiler?	Charlie	2005-11-12 10:48:32
Almost adjacent pairs idea	Larry	2005-11-12 09:55:51
172 and 173 -- Spoiler	Steve Herman	2005-11-11 19:49:13
Solution? Spoiler?	Steve Herman	2005-11-11 19:08:43
re: are they consecutive? - nevermind	Josh70679	2005-11-11 14:19:22
are they consecutive?	Josh70679	2005-11-11 13:19:41

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