Answer
15504,
792,
6160
Work Step by Step
a) This is simply choosing 5 people from 20. $C(20,5) = 15504$
b) We are only choosing from 12 people now. $C(12,5) = 12!/(5!*7!)=792$
c) This would be a multiplication of the two individual events $C(12,3) * C(8,2)=6160$