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A4

Part of 2017 Putnam

Problems(1)

Putnam 2017 A4

Source:

12/3/2017
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.
PutnamPutnam 2017