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Jesse has 4 friends and 5 coworkers. Each day in the year 2021, Jesse talked to some number of friends: always at least one, but never all| 4 in the same day. Each day in 2021, Jesse also talked to some number of coworkers, but never more than 3 coworkers in one day. Prove that there were two days in 2021 in which Jesse talked to the same set of friends and the same set of coworkers.

Jesse has 4 friends and 5 coworkers. Each day in the year 2021, Jesse talked to some number of friends: always at least one, but never all| 4 in the same day. Each day in 2021, Jesse also talked to some number of coworkers, but never more than 3 coworkers in one day. Prove that there were two days in 2021 in which Jesse talked to the same set of friends and the same set of coworkers.

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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Jesse has 4 friends and 5 coworkers. Each day in the year 2021, Jesse talked to some number of friends: always at least one, but never all 4 in the same day. Each day in 2021, Jesse also talked to some number of coworkers, but never more than 3 coworkers in one day. Prove that there were two days in 2021 in which Jesse talked to the same set of friends and the same set of coworkers.
Transcribed Image Text:Jesse has 4 friends and 5 coworkers. Each day in the year 2021, Jesse talked to some number of friends: always at least one, but never all 4 in the same day. Each day in 2021, Jesse also talked to some number of coworkers, but never more than 3 coworkers in one day. Prove that there were two days in 2021 in which Jesse talked to the same set of friends and the same set of coworkers.
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