MathDB

6

Part of 2002 Portugal MO

Problems(1)

10 pople in a a bookstore for science.

Source: Portugal OPM 2002 p6

5/19/2024
On March 66, 20022002, the celebrations of the 500500th anniversary of the birth of by mathematician Pedro Nunes. That morning, only ten people entered the Viva bookstore for science. Each of these people bought exactly 33 different books. Furthermore, any two people bought at least one copy of the same book. The Adventures of Mathematics by Pedro Nunes was one of the books that achieved the highest number of sales in this morning. What is the smallest value this number could have taken?
combinatorics