A youth basketball team has 12 players on the roster. Seven of the team members are boys and five are girls. The coach writes each player’s name on a sheet of paper and places the names in a hat. The team captain shuffles the names and the coach selects five slips of paper from the hat to determine the starting lineup.

a. What is the probability the starting lineup consists of three boys and two girls?

b. What is the probability the starting lineup is all boys?

c. What is the probability there is at least one girl in the starting lineup?