For this case we have the following formula:
[tex]nP_ {r} = \frac {n!} {(n-r)!}[/tex]
Where:
P: It is the number of permutations
n: It is the number of objects
r: It is the number of selected objects
According to the data we have to:
[tex]n = 12\\r = 5[/tex]
Substituting:
[tex]12P_ {5} = \frac {12!} {(12-5)!} = \frac {12 * 11 * 10 * 9 * 8 * 7!} {7!} = 12 * 11 * 10 * 9 * 8 = 95,040[/tex]
Finally, the number of permutations is 95,040
ANswer:
95,040
