A computer password is required to be 8 characters long. How many passwords are possible if the password requires 3 letter(s) followed by 5 digits (numbers 0-9), where no repetition of any letter or digit is allowed?

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Answer:

There are 471744000 passwords.

Step-by-step explanation:

A computer password is required to be 8 characters long.

The password is in the form:  3 letter(s) followed by 5 digits (numbers 0-9)

Total English alphabets from a to z = 26

Total digits from 0 to 9 = 10

We do not have to repeat the letter or digits.

So, there will be = [tex]26\times25\times24\times10\times9\times8\times7\times6[/tex]

= 471744000