Question

The AccessPlus system at ISU has the following policy for creating a password:

-Passwords must be exactly 8 characters in length.

-Passwords must include at least one letter (a-z, A-Z) or supported special character (@, #, $ only).

-All letters are case-sensitive.

-Passwords must include at least one number (0-9).

-Passwords cannot contain spaces or unsupported special characters.

According to this policy, how many possible AccessPlus passwords are available? (Round to the nearest

trillion)

Answer #1

There are a total of 26*2 + 3 + 10 = 65 allowable characters here.

Total number of passwords with only digits is computed here
as:

= 10*10*...... 8 times

= 10^{8}

Total number of passwords with only 26*2 + 3 allowable
characters and no digits is computed here as:

= 55*55*... 8 times

= 55^{8}

Now total number of passwords without any conditions is computed
here as:

= 65*65*.... 8 times as each of the 65 character can fill the 8
positions

= 65^{8}

Therefore total number of passwords allowed here is computed
as:

= 65^{8} - 10^{8} - 55^{8}

= **234910775000000**

A computer password consists of: • letters {a, A, 6, B,
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Suppose that passwords for an email provider:
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are case-sensitive, can include digits, and can include any of
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cannot end in a special character
must contain at least one capital letter, one digit, or one
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your work. Work on the back of this sheet and
attach additional sheets as necessary. A
final answer...

1) Assume that a password can contain upper and lower-case
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Suppose that a certain computer password is allowed to be from 8
to 12 characters long, and may contain only lowercase letters (a to
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2. How many such passwords are possible if you cannot repeat
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For both password systems, assume the following:
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