Question

A president and vice-president for a student organization are chosen from eleven people. How many different president/vice-president combinations are possible?

Answer 1

110 combinations.

Explanation:

We are going to be choosing without replacement.

Out of 11 people, we can choose one president, but after choosing, we would be left out with 10 people to choose a vice president from.

To calculate the possible combinations of president and vice-president, we multiply 11 by 10

11 x 10

= 110

Therefore we have 110 vice-president/president possible combinations.