discrete math functions pigeonhole principle Imagine a room with 62 people.1. Will there be at least five people who celebrate their birthday in the same month?O YesO No2. Will there be at least seven people who celebrate their birthday in the same month?O YesO No3. In this scenario, what are the objects and what are the boxes? (Some call these the pigeonsand the pigeonholes, respectively.)] are the objects.| are the boxes.4. What is the least number of people must you put in a room to guarantee there will be atleast seven people born in the same month?

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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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1. Will there be at least five people who celebrate their birthday in the same month Yes No