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 100 days?

Question

Answer 1

Bot answered
1 year ago

The smallest positive integer n would be 101.

Answer 2

oobleck answered
1 year ago

The number of proper subsets of a group of n elements is 2^n - 1.
So, if n>=7, there are at least 127 ways to choose members of the group.