Question

There are 13 students in a homeroom. How may different ways can they be chosen to be elected President, Vice President, and Treasurer?

Answer 1

1716

Explanation:

here we have to form arrangements of 3 students

taken from 13 students.

• Where order is important because the positions President, Vice President and Treasurer are not the same.

• also ,repetition is not allowed ,because one student can’t occupy two positions at the same time.

Then ,the number of possible ways

is equal to the number of permutations :

= 13P3

= 13×12×11

= 1716