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Belgium Contests
Flanders Math Olympiad
1989 Flanders Math Olympiad
1
1
Part of
1989 Flanders Math Olympiad
Problems
(1)
Easy but beatiful
Source: Flanders '89
8/9/2004
Show that every subset of {1,2,...,99,100} with 55 elements contains at least 2 numbers with a difference of 9.
combinatorics proposed
combinatorics