Answer: 6720
Step-by-step explanation:
The number of permutations of n things taken r at a time is given by the following formula:
[tex]^nP_r=\frac{n!}{(n-r)!}[/tex]
Similarly, for n=8 and r=5, the number of permutations of 8 things taken 5 at a time will be:
[tex]^8P_5=\frac{8!}{(8-5)!}\\\\=\frac{8\times7\times6\times5\times4\times3!}{3!}\\\\=6720[/tex]
Hence, [tex]^8P_5=6720[/tex]
