A team of at least five volunteers will be selected from seven people who volunteer to work at a food bank.

a) How many different teams are possible?
b) How many different teams are possible if one of them will be the team coordinator?

Correct if me if I am wrong. Should a) be 7C5 + 7C6 + 7C7 = 29
b) be 7P1(6C4 + 6C5 + 6C6)