MathDB

1

Part of 2020 Azerbaijan IMO TST

Problems(1)

Combinatorics problem

Source: Azerbaijan IMO TST 2020

9/29/2020
A finite number of stones are good when the weight of each of these stones is less than the total weight of the rest. It is known that arbitrary nāˆ’1n-1 of the given nn stones is good. Prove that it is possible to choose a good triple from these stones.
combinatorics