7. A password on a certain site must be five characters long, made from letters of the alphabet, and have at least one upper case letter. How many different passwords are there? What if there must be a mix of upper and lower case?

7. A password on a certain site must be five characters long, made from letters of the alphabet, and have at least one upper case letter. How many different passwords are there? What if there must be a mix of upper and lower case?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Suppose that a password for a locked door must have at least 8 characters, where each character in the password can be a lowercase English letter, an uppercase English letter, or a digit. Now imagine that a hacker is watching a user insert The password, and based on the time it took to insert the password, it cannot have been more than 11 characters long. Now,1. How many passwords can there be for this locked door?2. If the hacker can try a million (106) permutations at the locked doorevery second, how long will it take the hacker to try all the possiblepasswords?
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A computer password is required to be 7 characters long. How many passwords are possible if the password requires 1 letter(s) followed by 6 digits (numbers 0-9), where no repetition of any letter or digit is allowed? There are passwords. possible
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A user is allowed to create an 8-digit password, but it must satisfy the following requirements: The first 2 spots must be different letters of the alphabet (case is not sensitive) The next 4 spots must be different numbers from the set {0-9} The last 2 spots must be different non-alphanumeric symbols from the set {# , @, $,%} How many passwords are possible?