There are ten people in the Baking Club, including Mark. They choose 3 people to form an executive committee.
How many possible committees can be formed?
How many possible committees could be formed that include Mark?
Possible committees 10 C 3 = 10!/(3!7!) = .....
With Mark already on the committee you have one position filled and need to
choose two more people from 9 9 C 2 = 9! /(2! 7!) = ......