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[tex] \large\underline \bold{{SOLUTION}}[/tex]
[tex]\textrm{When Repetition is Allowed}[/tex]
[tex]\longmapsto\rm{P_n = n^r}[/tex]
[tex]\longmapsto\rm{P_5= 5^5}[/tex]
[tex]\longmapsto\boxed{\rm{P_5 =3125}}[/tex]
We will solve also for with restrictions.
[tex]\textrm{When Repetition is not Allowed}[/tex]
[tex]\longmapsto\rm{P_n= n!}[/tex]
[tex]\longmapsto\rm{P_5= 5!}[/tex]
[tex]\longmapsto\rm{P_5= 5×4×3×2×1}[/tex]
[tex]\longmapsto \rm{P_5= 120}[/tex]
[tex] \large\underline{ \bold{ANSWER}}[/tex]