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help with counting plz

 

I run a book club with n people, not including myself. Every day, for 100 days, I invite 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 members over all 365 days?

 Jan 29, 2023
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I believe the answer to this question is 265.

 

Work: the question asks how many members you need to not have all the same members throughout the year while adding 1 per day.

 

This means you will get this equation

 

n=365-100

 

Then this becomes

 

n=265

 

Hope This Helps!,

 Jan 29, 2023

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