Anne has 4 friends and 5 coworkers. Each day in the year 2019, Anne talked to some number of friends: always at least one, but never all 4 in the same day. Each day in 2019, Anne also talked to some number of coworkers, but never more than 3 coworkers in one day. Prove that there were two days in 2019 in which Anne talked to the same set of friends and the same set of coworkers.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Anne has 4 friends and 5 coworkers. Each day in the year 2019, Anne talked to some number of friends: always at least one, but never all 4 in the same day. Each day in 2019, Anne also talked to some number of coworkers, but never more than 3 coworkers in one day. Prove that there were two days in 2019 in which Anne talked to the same set of friends and the same set of coworkers.
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