MathDB
Problems
Contests
National and Regional Contests
Argentina Contests
Argentina National Olympiad
2006 Argentina National Olympiad
5
5
Part of
2006 Argentina National Olympiad
Problems
(1)
4000 gold coins among 40 pirates
Source: Argentina 2006 OMA L3 p5
5/12/2024
The captain distributed
4000
4000
4000
gold coins among
40
40
40
pirates. A group of
5
5
5
pirates is called poor if those
5
5
5
pirates received, together,
500
500
500
coins or less. The captain made the distribution so that there were the minimum possible number of poor groups of
5
5
5
pirates. Determine how many poor
5
5
5
pirate groups there are. Clarification: Two groups of
5
5
5
pirates are considered different if there is at least one pirate in one of them who is not in the other.
combinatorics