MathDB
Problems
Contests
National and Regional Contests
Russia Contests
All-Russian Olympiad
1971 All Soviet Union Mathematical Olympiad
153
153
Part of
1971 All Soviet Union Mathematical Olympiad
Problems
(1)
ASU 153 All Soviet Union MO 1971 two of 25 such other 23 different from +,-
Source:
7/3/2019
Given
25
25
25
different positive numbers. Prove that you can choose two of them such, that none of the other numbers equals neither to the sum nor to the difference between the chosen numbers.
combinatorics