MathDB

2

Part of 2004 Switzerland - Final Round

Problems(1)

sum of at least 2 of every 3 elements of M lies on M , subset of R

Source: Switzerland - 2004 Swiss MO Final Round p2

12/26/2022
Let MM be a finite set of real numbers with the following property: From three different elements of MM can always be chosen two whose sum is located in MM. How many elements can MM have at most?
combinatorics