MathDB
0641 n subsets of a set with 5 elements 6th edition Round 4 p1

Source:

May 3, 2021
combinatoricsSets

Problem Statement

Let FF be a family of n subsets of a set KK with 55 elements, such that any two subsets in FF have a common element. Find the minimal value of nn such that no matter how we choose FF with the properties above, there exists exactly one element of KK which belongs to all the sets in FF.