olymmath

AMO-Bench 2025 Problem 20

  • Answer

A school has newly formed 33 classes. It is known that for any two students belonging to different classes, in the third class there are exactly 1010 students who know both of them and 1010 students who know neither of them. Find the total number of students across the three classes.

Dataset text AMO-Bench. Open licence.

Show the answer

120

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Similar problems

These problems have the most words in common with this statement.

Locator amo-bench/2025/p20 · Tag 57SFGE8ZM6 · Edit this page on GitHub · Keys: j next, k previous