Mathematical Proof on Application of Pigeonhole Principle

Yunho Song
Chadwick

Abstract

The pigeonhole principle that is applied in this problem has been aware of myself before the encounter of this problem, but I found it hard to apply the principle to a math problem. I have first experienced this problem in the process of the SUMaC appliance, where I couldn’t solve the problem successfully, but I had in mind about the pigeonhole principle and I wanted to extend my understanding about the principle through this problem. In this problem, I will not only apply the principle, but I also will prove every and ultimately hope for an improvement in my math proving skills.

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