Question 25
Let $S = \{1, 2, \dots, 2017\}$.
Determine the largest possible natural number $n$ for which there are $n$ distinct subsets of $S$ such that for no two of these subsets their union is equal to $S$.
(Gerhard Woeginger)
Determine the largest possible natural number $n$ for which there are $n$ distinct subsets of $S$ such that for no two of these subsets their union is equal to $S$.
(Gerhard Woeginger)