6) 5 P 1
To evaluate the above permuation, we would aply the permutation formula:
[tex]^nP_r\text{ = }\frac{n!}{(n-r)!r!}[/tex][tex]\begin{gathered} n\text{ = 5, r = 1} \\ ^5P_1=\frac{5!}{(5-1)!1!} \\ \end{gathered}[/tex][tex]\begin{gathered} ^5P_1\text{ = }\frac{5!}{4!\times1!} \\ 1!\text{ = 1} \\ 5!\text{= }5\times4! \\ ^5P_1\text{ = }\frac{5\times4!}{4!\times1} \\ ^5P_1\text{ = }5 \end{gathered}[/tex]