skye5034
contestada

PLEASE HELP ME!
Find each value. Use a calculator if needed.

ORDER MATTERS!

a) P(12, 5)
= A. 60 B. 248,832 C. 95,040 D. 300

b) P(8, 8)
= A. 64 B. 40,320 C. 30,555 D. 16

Respuesta :

LammettHash
Presumably, [tex]P(n,k)[/tex] refers to the number of ways we can pick [tex]k[/tex] objects from a pool of [tex]n[/tex] objects in a certain order. We have

[tex]P(n,k)=\dfrac{n!}{(n-k)!}[/tex]

so

[tex]P(12,5)=\dfrac{12!}{(12-5)!}=\dfrac{12!}{7!}=95,040[/tex]

[tex]P(8,8)=\dfrac{8!}{(8-8)!}=\dfrac{8!}{0!}=40,320[/tex]

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