Answer:
720
Step-by-step explanation:
We are given the following permutation problem to solve:
[tex] _ 6 P _ 6 [/tex]
We know that the number of possibilities to choose an ordered set of [tex] r [/tex] objects from a total of [tex]n[/tex] objects is given by:
[tex] _ n P _ r = \frac { n ! } { ( n - r ) ! } [/tex]
Substituting the given values, n = 6, r = 6:
[tex] _ 6 P _ 6 = \frac { 6 ! } { ( 6 - 6 ) ! } [/tex] = 720
