There are 11 people who want to participate in a quiz. The maximum size of a team is 3, but no one from the 11 people want to compete alone. In how many different groupings can they enter the competition?
I'm struggling to get the different groupings because there seems to be a large amount of possibilities: first the number of people in a group, then you would have to consider who's in each of them. Is there an equation to solve this? If not, is there an easier way instead of just counting all the possibilities?