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National and Regional Contests
Greece Contests
Greece National Olympiad
1999 Greece National Olympiad
4
4
Part of
1999 Greece National Olympiad
Problems
(1)
Dividing the circle with segments connecting n points
Source: Greece MO 1999
5/27/2011
On a circle are given
n
≥
3
n\ge 3
n
≥
3
points. At most, how many parts can the segments with the endpoints at these
n
n
n
points divide the interior of the circle into?
combinatorics proposed
combinatorics