Question

A password must consist of a minimum of 8 letters (not case sensitive) and a maximum of 10. If the policy prohibits repeated characters, how many passwords are possible? (Leave your answer in terms of factorials).

Answer #1

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)

Suppose you must create a password that consists of six
characters where the first two characters are numbers and the
remaining characters can be any numbers and any letters
(case-sensitive). How many such passwords are possible?

Suppose a certain web site has you choose a username and a
password where the username consists of 9 alphanumeric characters
and the password is 6 alphanumeric characters the last of which
must be numeric and the first of which must be alphabetical.
a. How many usernames are possible if they are not case
sensitive?
b. How many passwords are possible if they are not case
sensitive?
c. How many usernames are possible if they are case sensitive?
d. How...

A hard-headed hacker is attempting to login into Larry’s Amazon
account by guessing his password. The hacker does not give up until
she tries 1 thousand different passwords. What is the probability
that she will guess the password and break in if, by rules, the
password must consist of:
a. 8 different lower-case letters
b. 8 different letters, some may be upper-case, and it is case
sensitive
c. any 8 letters, upper- or lower-case, and it is case
sensitive
d....

A company wants to impose a more secure password system for its
employees to use on the company’s network. The current policy
requires a minimum of seven characters. The system under
consideration requires a minimum of eight characters. The new
system will allow repetition of characters, but not doubling (e.g.,
the sequence 121 would be acceptable, but not 112).
For both password systems, assume the following:
Only alphanumeric characters can be used in the passwords,
without any spaces or symbols....

a password must be 4 characters long and contain only digits and
lowercase english letters. The english alphabet contains 5 vowels.
Assuming that digits and letters can be repeated how many differnt
passwords contain exactly one vowel?
enter the exact numeric number

You are asked to select a password for a Web site. It must
consist of five lowercase letters and two digits in any order. How
many possible such passwords are there if a) repetitions are
allowed b) repetitions are not allowed?

The company has agreed on an 8 character password format,
comprised of upper case letters , lower case letters, and digits
(0-9). Find the number of passwords possible where the first 2
characters have to be upper case letters, the next 5 can be lower
case letters or digits , and the last character has to be an upper
case letter. Here are the restrictions:
a. Repetitions are allowed
b. Repetitions are not allowed

A computer password can be 5 - 6 characters. The password must
contain at least 1 digit. All other characters must either be
digits or lower case letters. How many unique passwords exists?

Suppose that a certain computer password is allowed to be from 8
to 12 characters long, and may contain only lowercase letters (a to
z), uppercase letters (A to Z), and numbers (0 to 9).
1. How many such passwords are possible?
2. How many such passwords are possible if you cannot repeat
characters?
3. How many such passwords are possible if you cannot repeat
characters, and you must include
at least one number?

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