MathDB

sets of subsets of sets of subsets of ...

Source: 2023 AIME II Problem #11

February 16, 2023

AMCAIMEAIME II

Problem Statement

Find the number of collections of

16

distinct subsets of

\{1, 2, 3, 4, 5\}

with the property that for any two subsets

X

and

Y

in the collection,

X\cap Y \neq \emptyset

.

Back to Problems View on AoPS