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"What is P(8, 5)?
a. 56
b. 336
c. 1400
d. 6720 "


Sagot :

Answer:

The Answer is D.6720

Step-by-step explanation:

Solution on the photo.

View image AnthonyD

Hello!

"What is P(8, 5) ?

Let's find the number of possibilities for the ordered set by applying the following formula:

[tex]nPr = \dfrac{n!}{\left(n-r\right)!}[/tex]

If: n = 8 and r = 5

Solving:

[tex]nPr = \dfrac{n!}{\left(n-r\right)!}[/tex]

[tex]8P5 = \dfrac{8!}{\left(8-5\right)!}[/tex]

[tex]8P5 = \dfrac{8!}{3!}[/tex]

[tex]8P5 = \dfrac{8*7*6*5*4*\diagup\!\!\!\!3!}{\diagup\!\!\!\!3!}[/tex]

[tex]8P5 = 8*7*6*5*4[/tex]

[tex]\boxed{\boxed{8P5 = 6720}}\end{array}}\qquad\checkmark[/tex]

Answer:

d. 6720

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I Hope this helps, greetings ... Dexteright02! =)