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Mark Zuckerburg, the founder and CEO of Facebook, is known to have kept dadada as his Twitter and Instagram passwords. Simple passwords of this type

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Mark Zuckerburg, the founder and CEO of Facebook, is known to have kept "dadada" as his Twitter and Instagram passwords. Simple passwords of this type are a treat for hackers trying to gain access to an account. These passwords can be guessed in a short amount of time by what is called a dictionary attack. In this case, an intruder tests common words and their combinations until the correct password is found. Assume that a social media platform requires your password to have exactly 8 characters selected from any of the 26 letters of the alphabet, the numbers 0 though 9, and any of the characters, #, $, %, or &. In order to simplify computations, let's assume repetitions are allowed. 1. Determine the number of distinct passwords that can be created using the requirements described above. 2. Let's assume that is takes 0.02 seconds to check a single possible password. How many seconds would it take to. check every single possible password? This approach is called a "Brute Force" attack. 3. How many years would it take to check every single possible password? Round your answer to the nearest whole year

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