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I run a book club with n people, not including myself. Every day, for 365  days, I invite \(2\) members in the club to review a book. What is the smallest positive integer n so that I can avoid ever having the exact same group of three members over all 365 days?

 Feb 3, 2022
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YOU are in every group of 3    so you need to find the number needed to give two different memebers for 365 days

x C 2 >= 365

 

trial and error shows x = 28

 Feb 3, 2022

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