Question

A class of 18 students is going to elect a class president, a class Vice President, a class secretary, and a class treasurer. How many different ways can these positions be selected from the class?

Answer 1

Answer: 73440 ways

Explanation:

Given: The total number of students = 18

Since they are going to elect a class president, a class Vice President, a class secretary, and a class treasurer.

Thus, they are going to elect 4 different positions from class.

By permutation, the number of ways in which these positions can be selected

`=^(18)P_4=(18!)/((18-4)!)\\\\=(18*17*16*15*14!)/(14!)=73440`

Hence, there are 73440 ways to select given positions.