MathDB
Putnam 2017 A4

Source:

December 3, 2017
PutnamPutnam 2017

Problem Statement

A class with 2N2N students took a quiz, on which the possible scores were 0,1,,10.0,1,\dots,10. Each of these scores occurred at least once, and the average score was exactly 7.4.7.4. Show that the class can be divided into two groups of NN students in such a way that the average score for each group was exactly 7.4.7.4.