MathDB
cards with numbers, 300 problems (II Soros Olympiad 1995-96 R2 11.3)

Source:

June 3, 2024
combinatorics

Problem Statement

The math problem book contains 300300 problems. The teacher has cards with numbers. She pins these cards to a special stand and indicates the numbers of four problems that need to be solved during the lesson. What is the smallest number of cards that a teacher can use in order to be able to indicate the numbers of any four problems from the problem book?