A combinatorics problem where the currency is important
Source: Germany 2002 - Problem 6
December 20, 2022
combinatoricscoinsDistributions
Problem Statement
Theo Travel, who has children, has already visited countries of the eurozone. From every country, he brought not necessarily distinct coins home. Moreover, among these coins there are exactly of every value ( and ct, and euro). He wants to give each child coins such that they are from different countries and that each child gets the same amount of money. Is this always possible?