Answer:
C. 9P6
Step-by-step explanation:
Given choices are :
A. 8P5
B. 9P1
C. 9P6
D.8P1
Now we need to find about which below is largest when evaluated.
So let's evaluate them using formula:
[tex]nPr=\frac{n!}{\left(n-r\right)!}[/tex]
[tex]8P5=\frac{8!}{\left(8-5\right)!}=\frac{8!}{\left(3\right)!}=6720[/tex]
[tex]9P1=\frac{9!}{\left(9-1\right)!}=\frac{9!}{\left(8\right)!}=9[/tex]
[tex]9P6=\frac{9!}{\left(9-6\right)!}=\frac{9!}{\left(3\right)!}=60480[/tex]
[tex]8P1=\frac{8!}{\left(8-1\right)!}=\frac{8!}{\left(7\right)!}=8[/tex]
Largest value among those numbers is 60480.
Hence correct choice is C. 9P6
