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.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
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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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