Question

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 number.

Answer #1

A contain all the passwords with only letters, therefore A' contain all the passwords which either have all the numbers or have at least one number and one alphabet.

Similarly, B is set of all passwords with only integers, therefore B' contain all the passwords with either all alphabets or with at least one alphabet and one number.

Therefore the set r A′∩ B′ would contain all the passwords with at least one number and at least one alphabet.

The number of passwords in r A′∩ B′ is computed here as:

= Total number of possible passwords - Number of passwords with only numbers - Number of passwords with only alphabets.

Note that there are a total of 11 characters and each can be
used in each of the 5 locations. Similarly with 6 alphabets, number
of passwords with only alphabet is given as 6^{5} and so
on..

**therefore 150150 passwords are there in the given
set.**

A computer system uses passwords that are exactly eight
characters and each character is one of the 26 letters (a-z) or
integers (0-9). Uppercases are not allowed).
How many passwords are possible?
If one selected a random password, what is the probability it
consists of five letters followed by 3 numbers?
What is the probability that a randomly selected password
consists exactly of 7 letters and 1 number?

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

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 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?

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?

I've done A to E but I'm stuck in F.
A computer has been programmed to generate, uniformly at random,
an eight-character password, with each character being either one
of 26 lower-case letters (a-z), one of 26 upper-case letters (A-Z)
or one of 10 integers (0-9).
a) Let Ω be the set of all possible passwords generated by this
computer. What is the size |Ω| of this sample space? Determine the
probability that a randomly generated password
b) contains only...

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?

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)

Motorola has developed an edible password pill. When the pill is
ingested, it is activated by the acid in your stomach emitting an
18-bit signal which is strong enough to communicate and unlock all
your devices. The edible password pill won’t be available in the
near future, but it is already FDA approved. A computer system uses
passwords that contain exactly six characters, and each character
is one of 26 lower case letters (a, z), 26 upper case letters (A,...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 12 minutes ago

asked 18 minutes ago

asked 48 minutes ago

asked 50 minutes ago

asked 52 minutes ago

asked 57 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago