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The Golden Number Mathematics Tournament
TNO 2023
1
Bruno again....
Bruno again....
Source:
October 31, 2024
combinatorics
Chile
Problem Statement
Let
n
≥
4
n \geq 4
n
≥
4
be an integer. Show that at a party of
n
n
n
people, it is possible for each person to have greeted exactly three other people if and only if
n
n
n
is even.
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