MathDB

1

Part of 2020 Canada National Olympiad

Problems(1)

2020 Canadian MO P1

Source:

3/14/2020
There are n≥3n \ge 3 distinct positive real numbers. Show that there are at most n−2n-2 different integer power of three that can be written as the sum of three distinct elements from these nn numbers.
algebraCanadaP1