Question

- A computer password must be eight characters long. How many
passwords are possible if only the 26 letters of the alphabet are
allowed?
- Assuming that repetitions of alphabets is possible to create the password then the number of passwords possible
- Assuming that repetitions of alphabets is not possible to create the password then the number of passwords possible

- A jar contains 4 red marbles numbered 1 to 4 and 10 blue marbles numbered 1 to 10. A marble is drawn at random from the jar. Find the probability the marble is blue or even- numbered.

Answer #1

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.

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

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?

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.

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...

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,...

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...

Scenario: A computer system allows a user to
choose a password with a length of one to eight characters. A
system administrator needs to figure out how long a user’s password
should expire.
Assume that 1 million passwords can be tested per second by a
hacker. The hacker can guess a user’s password 24 hours a day and 7
days a week. A password should be expired if it has an equal or
greater than 10% probability of having been...

How many possible passwords are there, given the following
restrictions:
Must be between 4 and 6 characters long
Must begin with ‘A’
May only contain letters (uppercase or lowercase) and digits
(6-4) * (26*2 + 10)
(26*2 + 10)3 + (26*2 + 10)4 + (26*2 + 10)5
(26*2 + 10)4 + (26*2 + 10)5 + (26*2 + 10)6
(26*2 + 10)(6-4)
Which is true?
Recursive algorithms are sometimes simpler than non-recursive
algorithms
Recursive algorithms are more efficient than non-recursive
algorithms...

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