1) How many ways can 18 children be split into 3 teams: Man U, Arsenal and Chelsea? (The split doesn't have to be equal and a team can be empty).
My attempt:
18! * the no. of ways of arranging 3 a's and 18 b's. But I'm not sure how many this is. Is it 20 choose 2?
2) No. of ways to split 18 identical footballs among Man U, Arsenal and Chelsea?
3) 18 identical footballs. 5 different teams. No team should receive more than 5 balls.
Thanks so much