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?
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
Then this becomes
Hope This Helps!,