Some years ago, there was a town called Blarneystone with a population of 25,000, whose mayor Seamus O’Shaugnessy instituted an identification system for the inhabitants that was based on their initials.
Residents might have from one to three given names, and when it occurred that two people had the same initials one of them was moved to a higher administrative level of the town named Blarneystone-2.
Seamus O’Shaugnessy’s portly wife Marybelle was in charge of administrating the initials system.
Seamus O’Shaugnessy wanted to preserve order in the initials system and was prepared to go to any level of Blarneystone-n necessary for this purpose.
What would you say was the minimum number of persons living in Blarneystone-1 with three given names?
At the time, Blarneystone 2 had 1000 residents. How many of them had two given names?
What would be the minimum number of persons needed to start a new level of Blarneystone?