2005 people at a SuperRockPop concert
Source: Portugal OPM 2005 p1
May 19, 2024
combinatorics
Problem Statement
In line for a SuperRockPop concert were 2005 people. With the aim of offering tickets for the "backstage", the first person in line was asked to shout "Super", ` the second "Rock", ` the third "Pop", ` the fourth "Super", ` the fifth "Rock", ` the sixth "Pop" and so on. Anyone who said "Rock" or "Pop" was eliminated. This process was repeated, always starting from the first person in the new line, until only people remained. What positions were these people in at the beginning?