Problem Contest – Problem of the Week - September 28, 2004 

A Circle with Chords.  A given circle has n chords.  Each chord crosses every other chord but no three chords meet at the same point. How many regions are in the circle?  Hint: For n=2 chords there are 4 regions.

Submit written solution with justification to John Emerson, Warner 312, before 3:00 on Tuesday, October 5.  Or leave them in the Warner mailroom.

Note:  Join us at the weekly seminars, usually on Tuesday at 3:00 for refreshments.