Think of a password 8 character long which uses at last one lower-case letter, one capital...

Think of a password 8 character long which uses at last one lower-case letter, one capital letter, and one number, but uses none more than once.
What's your password?

How many possible permutations are there for an 8 character password which meets those criteria?

How many fewer combinations without regard to order are there for an 8 character password which meets those requirements.

How would you calculate how many permutations there are for an 8 to 12 character password which meets those criteria?

Expert Solution

Colby Messinger answered 2 years ago

In an exactly 8 character long password where capital letters, small letters, and digits (0 to...

In an exactly 8 character long password where capital letters, small letters, and digits (0 to 9) must be used. Regardless of the order, how many passwords will use exactly 5 ones, 4 twos, and one Z?

A password is a string of ten characters, where each character is a lowercase letter, a...

A password is a string of ten characters, where each character is a lowercase letter, a digit, or one of the eight special characters !, @, #, $, %, &, (, and ). A password is called awesome, if it contains at least one digit or at least one special character. Determine the number of awesome passwords.

A 10-character password is to be selected from an alphabet comprised of the following: all lower...

A 10-character password is to be selected from an alphabet comprised of the following: all lower case and upper case English alphabet and all numbers. Compute the entropy of such a password. Why would such an entropy computation not be representative of passwords in practical settings?

Q.1 A security system uses a 2-letter password, but no letter can be used more than...

Q.1 A security system uses a 2-letter password, but no letter can be used more than once. How many possible passwords are there if 15 of the letters of the alphabet can be used by the system? (Use these numbers for this question only!) For this question indicate only what the value of N is? Q2. A security system uses a 5-letter password, but no letter can be used more than once. How many possible passwords are there if 25...

For the next 8 questions, choose the test which is applicable and enter the capital letter...

For the next 8 questions, choose the test which is applicable and enter the capital letter corresponding to that test in the space provided. If no test discussed in STAT263 is applicable, enter the letter W. If more than one test is appropriate, you need only state one for full marks. A) Z test about μ B) t test about μ C) χ2 test about σ or σ2 D) pooled-variance t test E) Z test about μ1 & μ2 F)...

A password is a sequence of five characters. Each character is one of twenty-six uppercase letters...

A password is a sequence of five characters. Each character is one of twenty-six uppercase letters (“A” through “Z”), one of ten digits (“0” through “9”), or one of five symbols (“+”, “-”, “!”, “<”, “>”). Count the number of possible passwords that can be created in each of the following scenarios. Consider each part of this questions separately. (a) There are no restrictions on how the characters are chosen. (b) A password must begin with a letter and end...

An 8-character password consists of four numbers (from 1 to 9) followed by two letters (from...

An 8-character password consists of four numbers (from 1 to 9) followed by two letters (from A to Z) followed by two more numbers (from 1 to 9). a) How many different passwords can be formed if letters and numbers can be repeated? b) How many different passwords can be formed that have no repeated number or letters?

At a certain company, any valid password consists of four digits followed by two lower case...

At a certain company, any valid password consists of four digits followed by two lower case letters. Determine how many passwords are possible if the first digit cannot be a 0, the last letter must be a vowel (a, e, i, o, u) and repetition of any letter or any digit is not permitted?

Partial Permutations Find the number of 7-character (capital letter or digit) license plates possible if no...

Partial Permutations Find the number of 7-character (capital letter or digit) license plates possible if no character can repeat and: a) there are no further restrictions, b) the first 3 characters are letters and the last 4 are numbers, c) letters and numbers alternate, for example A3B9D7Q or 0Z3Q4A9 Combinations A standard 52-card deck consists of 4 suits and 13 ranks. Find the number of 5-card hands where: a) any hand is allowed (namely the number of different hands) b)...

8. One of your new employees notes that your debt has a lower cost of capital...

8. One of your new employees notes that your debt has a lower cost of capital (4%) than your equity (13%). So, he suggests that the firm swap its capital structure from 31% debt and 69% equity to 69% debt and 31% equity instead. He estimates that after the swap, your cost of equity would be 18%. a. What would be your new cost of debt? Make your calculations based on your firm's pre-tax WACC. b. Have you lowered your...

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