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A computer password consists of four characters. the characters can be one of the 26 letters of the alphabet. each character may be used more than once. how many different passwords are possible

Respuesta :

DizzyBerco

Answer:

358,800

Step-by-step explanation:

To find the number of possible passwords, we use the permutation formula:

[tex]_{n}P_{k}=\dfrac{n!}{(n-k)!}[/tex]

Our variables are:

n = 26

k = 4

[tex]_{26}P_{4}=\dfrac{26!}{(26-4)!}[/tex]

[tex]_{26}P_{4}=\dfrac{26!}{22!}[/tex]

[tex]_{26}P_{4}=358,800[/tex]

There are 358,800 possible password when there are 4 characters

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