discrete math functions pigeon principle Imagine a room with 380 people.1. Will there be at least two people who celebrate their birthday on the same day?Yes, definitelyO Not necessarily2. Will there be at least three people who celebrate their birthday on the same day?Yes, definitelyO Not necessarily3. 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 four people with the same birthday? (For simplicity, pretend Feb 29 is not a possiblebirthday for this group.)

Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Answered: 1. Will there be at least two people…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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1. Will there be at least two people who celebrate their birthday on the same day Yes, definitely O Not necessarily 2 Will there be at least three people who celebrate their birthday on the same d: