The division and pigeonhole principles Show that if six numbers are chosen at random, then at least two of them will have the same remainder when divided by 5.
The division and pigeonhole principles Show that if six numbers are chosen at random, then at least two of them will have the same remainder when divided by 5.
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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![The division and pigeonhole principles
Show that if six numbers are chosen at random, then at least two of them will have
the same remainder when divided by 5.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe73d2f7-f48d-4799-ad26-f906d4f73fa5%2Fb931ea98-5523-49e9-906f-cd980a039a63%2Fm1qid4b_processed.png&w=3840&q=75)
Transcribed Image Text:The division and pigeonhole principles
Show that if six numbers are chosen at random, then at least two of them will have
the same remainder when divided by 5.
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