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What is the total number of possible 5-letter arrangements of the letter b,
I, a, c, k if repetition is permitted?

huhu please answer it na!! ​

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AGboiigo

[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]

  • 3125 ways

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