Answer:
A. A = B
Step-by-step explanation:
Given
[tex]A = 8![/tex]
[tex]B = ^8P_8[/tex]
Required
Which of the options is true
We start by simplifying [tex]B = ^8P_8[/tex]
Permutation is calculated as follows
[tex]^nP_r = \frac{n!}{(n - r)!}[/tex]
So.
[tex]^8P_8 =\frac{8!}{(8 - 8)!}[/tex]
[tex]^8P_8 =\frac{8!}{0!}[/tex]
0! = 1; So
[tex]^8P_8 =\frac{8!}{1}[/tex]
[tex]^8P_8 =8![/tex]
Hence. B! = P!
This implies that [tex]A = B = 8![/tex]
