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! =)
