MathDB
highest possible value of n employees, rioplatense 2018 p6

Source: Rioplatense Olympiad 2018 level 3 p6

December 11, 2018
combinatoricsmaximum value

Problem Statement

A company has nn employees. It is known that each of the employees works at least one of the 77 days of the week, with the exception of an employee who does not work any of the 77 days. Furthermore, for any two of these nn employees, there are at least 33 days of the week in which one of the two works that day and the other does not (it is not necessarily the same employee who works those days). Determine the highest possible value of nn.