MathDB
2022 LMT Spring Accuracy Problem 7

Source:

September 29, 2023
combinatorics

Problem Statement

A teacher wishes to separate her 1212 students into groups. Yesterday, the teacher put the students into 44 groups of 33. Today, the teacher decides to put the students into 44 groups of 33 again. However, she doesn’t want any pair of students to be in the same group on both days. Find how many ways she could formthe groups today.