MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
Harvard-MIT Mathematics Tournament
2017 Harvard-MIT Mathematics Tournament
3
2017 Team #3: Many faces with same number of sides
2017 Team #3: Many faces with same number of sides
Source:
February 19, 2017
combinatorics
Problem Statement
A polyhedron has
7
n
7n
7
n
faces. Show that there exist
n
+
1
n + 1
n
+
1
of the polyhedron's faces that all have the same number of edges.
Back to Problems
View on AoPS