Show that among a group of 621 people, there are at least 21 who are born on the same day of the month (e.g., the 21st or the 12th, etc.). Is the same fact true if there are only 620 people? Make sure to clearly indicate the use of the Pigeonhole Principle.
Show that among a group of 621 people, there are at least 21 who are born on the same day of the month (e.g., the 21st or the 12th, etc.). Is the same fact true if there are only 620 people? Make sure to clearly indicate the use of the Pigeonhole Principle.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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This is a discrete math (combinatorial arguments) problem. Please explain clearly, no cursive writing.
![Show that among a group of 621 people, there are at least 21 who are born on the same day of the
month (e.g., the 21st or the 12th, etc.). Is the same fact true if there are only 620 people? Make
sure to clearly indicate the use of the Pigeonhole Principle.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F06a737e7-f57c-449b-94dc-ce666780f911%2F0d38b35f-4e07-4ebd-b3ce-2f29b7519d3f%2Fqgwy3y8_processed.png&w=3840&q=75)
Transcribed Image Text:Show that among a group of 621 people, there are at least 21 who are born on the same day of the
month (e.g., the 21st or the 12th, etc.). Is the same fact true if there are only 620 people? Make
sure to clearly indicate the use of the Pigeonhole Principle.
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