Given: The expression below
[tex]_8P_5[/tex]
To Determine: The value of the given using permutation formula
The permutation formula is given as
[tex]_nP_r=\frac{n!}{(n-r)!}[/tex]
Use the formula to calculate for the given as shown below
[tex]_8P_5=\frac{8!}{(8-5)!}[/tex][tex]_8P_5=\frac{8\times7\times6\times5\times4\times3!}{3!}[/tex][tex]\begin{gathered} _8P_5=8\times7\times6\times5\times4 \\ _8P_5=6720 \end{gathered}[/tex]
Hence
₈P₅ = 6720
