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.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section: Chapter Questions

Problem 40CT: There are 10 applicants for three sales positions at a department store. All of the applicants are...

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