PLEASE HELP, i really need to understand these questions before my finals. pleaseee? How many people must be selected to guarantee that at least 6 have a birthday in the same month?

Name: PLEASE HELP, i really need to understand these questions before my fin
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Description: PLEASE HELP, i really need to understand these questions before my finals. pleaseee? How many people must be selected to guarantee that at least 6 have a birthday in the same month?

Answered: How many people must be selected to…

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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PLEASE HELP, i really need to understand these questions before my finals. pleaseee?

How many people must be selected to guarantee that at least 6 have a birthday in the same month?

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Step 1

The Pigeonhole Principle:

If there are n+1 objects and it is required to place then in n boxes then there must be one both much contains at least 2 items.

The Generalized pigeonhole principle :

If there are kn+1 objected and it is required to place then in n boxes then there are at least k+1 objects contained in same box .

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