MathDB
0553 combinatorics 5th edition Round 5 p3

Source:

May 6, 2021
combinatorics5th edition

Problem Statement

A student wants to make his birthday party special this year. He wants to organize it such that among any groups of 44 persons at the party there is one that is friends with exactly another person in the group. Find the largest number of his friends that he can possibly invite at the party.