What is the correct way to arrange the numbered protons in increasing order of acidity and why

Pushing Electrons
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ISBN:9781133951889
Author:Weeks, Daniel P.
Publisher:Weeks, Daniel P.
Chapter1: Lewis Structures
Section: Chapter Questions
Problem 66EQ: A very strong base can remove a proton from methylamine:
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What is the correct way to arrange the numbered protons in increasing order of acidity and why? 

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Answer is 2> 5> 1>3>4 

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