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If there are 120 people in your college class, are there at least 5 people that share the same last initial? a. Let the pigeon holes be: , b. Let the pigeons be: c. What is k? d. Now the number of pigeons would have to be greater than: e. Is the number of pigeons or people greater? Why or why not? . f. Are there at least 5 people that share the same last initial if there are 120 people in the college class? Why or why not?

If there are 120 people in your college class, are there at least 5 people that share the same last initial? a. Let the pigeon holes be: , b. Let the pigeons be: c. What is k? d. Now the number of pigeons would have to be greater than: e. Is the number of pigeons or people greater? Why or why not? . f. Are there at least 5 people that share the same last initial if there are 120 people in the college class? Why or why not?

Advanced Engineering Mathematics
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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**Problem 2: Pigeonhole Principle Application** If there are 120 people in your college class, are there at least 5 people that share the same last initial? **Questions:** a. Let the pigeonholes be: _____ b. Let the pigeons be: _____ c. What is \( k \)? _____ d. Now the number of pigeons would have to be greater than: _____ e. Is the number of pigeons or people greater? Why or why not? _____ f. Are there at least 5 people that share the same last initial if there are 120 people in the college class? Why or why not? _____ **Write your response below:** __________________________________________________
Transcribed Image Text:**Problem 2: Pigeonhole Principle Application** If there are 120 people in your college class, are there at least 5 people that share the same last initial? **Questions:** a. Let the pigeonholes be: _____ b. Let the pigeons be: _____ c. What is \( k \)? _____ d. Now the number of pigeons would have to be greater than: _____ e. Is the number of pigeons or people greater? Why or why not? _____ f. Are there at least 5 people that share the same last initial if there are 120 people in the college class? Why or why not? _____ **Write your response below:** __________________________________________________
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