Respuesta :

The value of [tex]^6P_6[/tex] is 720

How to solve the expression?

The expression is given as:

[tex]^6P_6[/tex]

The permutation formula is:

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

So, we have:

[tex]^nP_r = \frac{6!}{(6 - 6)!}[/tex]

Evaluate the difference

[tex]^nP_r = \frac{6!}{0!}[/tex]

0! = 1.

So, we have:

[tex]^nP_r = 6![/tex]

Evaluate the factorial

[tex]^6P_6 = 720[/tex]

Hence, the value of [tex]^6P_6[/tex] is 720

Read more about permutation at:

https://brainly.com/question/11732255

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