Question

1a. A club has 11 members. How many different 3-member committees could the club form?

a) 165
OR
b) 990

1b. in how many ways a club president can a club president, treasurer and secretary be chosen?
a) 165
OR
b) 990

Answer 1

1a is 165

1b is 990

Explanation:

So the first one is basically asking the possibility of each member being chosen for one of each role.

While the second one is asking the possibility of the person being in one specific role and making that be considered a possibility.

In other words, it's basically easier to get into one of the three roles rather than being in one specific role.