Answer:
There are 120 ways for their roles to be divided.
120 maneiras diferentes em que as cinco podem ocupar os cargos do grêmio estudantil.
Step-by-step explanation:
We want to arrange n people in n positions.
Since the number of objects(in this case, the people) is the same as the number of positions(in this case, the roles), we use the arrangments formula.
Arrangments formula:
The total number of possible arrangents of n elements is:
[tex]A_{n} = n![/tex]
In this question:
5 students, so
[tex]A_{5} = 5! = 120[/tex]
There are 120 ways for their roles to be divided.
120 maneiras diferentes em que as cinco podem ocupar os cargos do grêmio estudantil.
