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 door every second, how long will it take the hacker to try all the possible passwords?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 12E: Suppose that the check digit is computed as described in Example . Prove that transposition errors...
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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 door
every second, how long will it take the hacker to try all the possible
passwords?

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