Answered: There are 120 subsets of size 3 from…

There are 120 subsets of size 3 from {1,2,...,10}. Using the pigeonhole principle, prove that if we choose 23 such subsets, there must be two of them whose elements have the same sum

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question: - There are 120 subsets of size 3 from {1,2,...,10}. Using the pigeonhole principle, prove that if we choose 23 such subsets, there must be two of them whose elements have the same sum

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