MathDB

(225) 3

Part of 1989 Tournament Of Towns

Problems(1)

TOT 225 1989 Autumn O J3 sum of any 10 of 1989 is positive

Source:

3/12/2021
A set of 19891989 numbers is given. It is known that the sum of any 1010 of them is positive. Prove that the sum of all these numbers is positive.
(Folklore)
combinatoricsalgebra