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I run a book club with n  people, not including myself. Every day, for 365 days, I invite four 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 four members over all 365 days?

 Apr 15, 2020
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12      this has been asked multiple times

 

11 c4 =330

12 c4 = 495

 Apr 15, 2020
edited by ElectricPavlov  Apr 15, 2020

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