A project team of 100 people has a certain number of projects, and everyone in the team will be assigned to some of these projects. It is desired that everyone in the team works on an equal number of projects, but no two people work on exactly the same projects. This condition cannot be satisfied if everyone works on 3 projects, but it can be satisfied if everyone works on 4 projects.
Accordingly, how many projects does the team have?
A) 6
B) 7
C) 8
D) 9
E) 10