Nice pigeonhole problem
Source:
July 5, 2020
geometric inequalitycombinatoricspigeonholepigeonhole principle
Problem Statement
Consider pairwise distinct natural numbers smaller than
a) Prove that among these, there are three numbers having the property that the sum of any two of them is bigger than the third.
b) If one of these numbers is is still true the fact from subpoint a)?
Teodor Radu