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Rioplatense Mathematical Olympiad, Level 3
1990 Rioplatense Mathematical Olympiad, Level 3
2
2
Part of
1990 Rioplatense Mathematical Olympiad, Level 3
Problems
(1)
no of people meeting odd number of others is even
Source: I - Rioplatense 1990 L3 P2
9/19/2022
Some of the people attending a meeting greet each other. Let
n
n
n
be the number of people who greet an odd number of people. Prove that
n
n
n
is even.
combinatorics
number theory