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.