The Club has 9 members. The club needs to elect a President,
Vice President, Secretary and Treasurer, how many different ways
are possible? How many ways are there to find a committee of size
three.
The Club has 10 members, 3 freshman, 4 sophomores and 3 juniors.
How many ways are there to find a committee of size three with no
freshmen? How many ways are there to find a committee of size three
with one freshmen?