Question

A website requires users to create a password that is 6 characters long. Each character can contain numbers, or symbols chosen from ? and #. The password does not have to include both numbers and symbols. a) How many 6-character passwords are possible if numbers and symbols can be used more than once? b) How many 6-character passwords are possible if no numbers or symbols can be repeated? c) What is the probability that a randomly generated 6-character password contains 6 different characters? a) Set up the expression that can be used to calculate the number of possible 6-character passwords if numbers and symbols can be used more than once. The expression is . (Do not simplify.) The number of different passwords that are possible if numbers and symbols can be used more than once is . (Simplify your answer.) b) The number of different passwords that are possible if no numbers or symbols can be repeated is . (Simplify your answer.) c) The probability that a 6-character password contains 6 different characters is . (Type an integer or decimal rounded to three decimal places as needed.)

          A website requires users to create a password that is 6 characters long. Each character can contain numbers, or symbols chosen from ? and #. The password does not have to include both numbers and symbols.
a) How many 6-character passwords are possible if numbers and symbols can be used more than once?
b) How many 6-character passwords are possible if no numbers or symbols can be repeated?
c) What is the probability that a randomly generated 6-character password contains 6 different characters?
a) Set up the expression that can be used to calculate the number of possible 6-character passwords if numbers and symbols can be used more than once.
The expression is . (Do not simplify.)
The number of different passwords that are possible if numbers and symbols can be used more than once is .
(Simplify your answer.)
b) The number of different passwords that are possible if no numbers or symbols can be repeated is . (Simplify your answer.)
c) The probability that a 6-character password contains 6 different characters is .
(Type an integer or decimal rounded to three decimal places as needed.)

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A website requires users to create a password that is 6 characters long. Each character can contain numbers, or symbols chosen from ? and #. The password does not have to include both numbers and symbols.
a) How many 6-character passwords are possible if numbers and symbols can be used more than once?
b) How many 6-character passwords are possible if no numbers or symbols can be repeated?
c) What is the probability that a randomly generated 6-character password contains 6 different characters?
a) Set up the expression that can be used to calculate the number of possible 6-character passwords if numbers and symbols can be used more than once.
The expression is . (Do not simplify.)
The number of different passwords that are possible if numbers and symbols can be used more than once is .
(Simplify your answer.)
b) The number of different passwords that are possible if no numbers or symbols can be repeated is . (Simplify your answer.)
c) The probability that a 6-character password contains 6 different characters is .
(Type an integer or decimal rounded to three decimal places as needed.)

Added by Ray M.

Calculus: Early Transcendentals

James Stewart 8th Edition

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Solved by Expert Sri K

10/01/2022

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Step 1: Calculate the number of possible 6-character passwords if numbers and symbols can be used more than once. Show more…

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