Respuesta :

The answer is c.
6 P 4 = 360

Answer:

[tex]\text{The value of }_4^6\txterm{P}\text{ is }360[/tex]

Step-by-step explanation:

we have to evaluate the permutation

[tex]_4^6\txterm{P}[/tex]

The permutation formula can be written as

[tex]_r^n\txterm{P}=\frac{n!}{(n-r)!}[/tex]

[tex]_4^6\txterm{P}=\frac{6!}{(6-4)!}=\frac{6!}{2!}[/tex]

[tex]=\frac{6\times 5\times 4\times 3\times 2!}{2!}=360[/tex]

[tex]\text{Hence, the value of }_4^6\txterm{P}\text{ is }360[/tex]