MathDB

7

Part of 1997 Chile National Olympiad

Problems(1)

7 courses for students (1997 Chile NMO P7)

Source:

11/23/2021
In a career in mathematics, 77 courses are taught, among which students can choose the ones you want. Determine the number of students in the career, knowing that: ∙\bullet No two students have chosen the same courses. ∙\bullet Any two students have at least one course in common. ∙\bullet If the race had one more student, it would not be possible to do both.
combinatorics