contestada

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?

Respuesta :

Answer: 73440 ways


Step-by-step 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

[tex]=^{18}P_4=\frac{18!}{(18-4)!}\\\\=\frac{18\times17\times16\times15\times14!}{14!}=73440[/tex]

Hence, there are 73440 ways to select given positions.