MathDB
n packages of 3 candies to give away at birthday party

Source: X May Olympiad (Olimpiada de Mayo) 2004 L2 P2

September 19, 2022
combinatorics

Problem Statement

Pepito's mother wants to prepare nn packages of 33 candies to give away at the birthday party, and for this she will buy assorted candies of 33 different flavors. You can buy any number of candies but you can't choose how many of each taste. She wants to put one candy of each flavor in each package, and if this is not possible she will use only candy of one flavor and all the packages will have 33 candies of that flavor. Determine the least number of candies that must be purchased in order to assemble the n packages. He explains why if he buys fewer candies, he is not sure that he will be able to assemble the packages the way he wants.