Quiz night - problem

Question

A group of 11 friends head to the pub on quiz night. The maximum team size allowed is 3 and nobody wants to compete solo! In how many different groupings can the friends enter into the quiz?

Any ideas on how to do this??

Answer 1

Hint -

We have 2 cases.

Case 1 - Group sizes are 3, 3, 3, 2.

Case 2 - Group sizes are 2, 2, 2, 2, 3.

Hope you can proceed further.