Question

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?

Answer #1

For making a five characters password we have:

Fix the ist place in the five string password with a digit then
it has **10 (0 to 9)** choices.

Now for the remaining four places we have to choose out of
**26** (lower case letters) and **9**
remaining choices.That is we have **(26+10=36)**
coices for 4 places i.e we have
combinations.

Hence we have all five cheracter password.

For making 6 cherecter passwors we have the combinations passwords.

1) Assume that a password can contain upper and lower-case
letters (26), digits, and special characters from the set { !, #,
$, %, &, * }. Furthermore, each password must start with a
letter and must contain at least one digit and one special
character. How many different six-character passwords can be formed
according to this specification?

A computer password consists of: • letters {a, A, 6, B,
...,2,Z}, • digits {0, 1,...,9), or = 16 • special characters
{!,@,#,$,%}. In addition, a password must • contain at least one
upper case letter, • contain at least one special character. How
many passwords of length 8 are possible?

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

A computer password is required to be 6 characters long. How
many passwords are possible if the password requires 1 letter(s)
followed by 5 digits (numbers 0-9), where no repetition of any
letter or digit is allowed?
There are possible passwords.

How many passwords of 5 characters can be made if each password
must start with two digits and end with three letters. The digits
will be with replacement and the letters will be without
replacement.

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?

Each user on a computer system has a password, which is seven to
nine characters long, where each
character is an uppercase letter or a digit. Each password must
contain at least one digit or at
least one Uppercase letter. How many possible passwords are
there?

For a certain computer program a password must be exactly 5
characters long. The first character can be any lowercase letter,
the second must be an uppercase letter, the third character must be
a number from 0 – 9, the fourth character can either be a lowercase
letter or a number 0 - 9, the fifth character has to be exactly the
same as the first character.
(6)
How many possible passwords are there?
What is the...

A computer system uses passwords that contain exactly 5
characters, and each character is 1 of the 3 lowercase letters (a,
b, c) or 3 upper case letters (A, B, C) or the 5 odd digits (1, 3,
5, 7, 9).. Let Ω denote the set of all possible passwords, and let
A and B denote the events that consist of passwords with only
letters or only integers, respectively. Determine the number of
passwords for A′∩ B′. Report the exact...

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?

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