Question: Please write the answer in laxtex and give a detailed explation for each subquestion ( 2 0 points ) Use a proof by cases to

Please write the answer in laxtex and give a detailed explation for each subquestion(20 points)
Use a proof by cases to show that 27 is not the square of a positive integer.
Solution:
(20 points)
Given any 40 people, prove that at least four of them were born in the same month of the year.
Solution:
Please write the answer in laxtex and give a detailed explation

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