All subsets into triples
Source: 239 Open MO, 2018, Junior League, Problem 3, Senior League, Problem 2
April 4, 2023
combinatorics
Problem Statement
Is it possible to divide all non-empty subsets of a set of 10 elements into triples so that in each triple, two of the subsets do not intersect and in their union give the third?
Proposed by Vladislav Frank