Problem
COM-B1-M04-P007 A Club with Many Students
#7
★★☆☆☆ Level 2 of 5
Across \(8\) clubs there are \(60\) memberships. Prove that some club has at least \(8\) students.
Compare with the average \(60/8\).
The average club size is \(60/8=7.5\). If every club had at most \(7\), the total would be at most \(56\), contradiction. Hence some club has at least \(8\).
Average argument.