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Keys pace and modulo operations. How long does it take (in second) to guarantee to find the correct key if you know a key length

  1. Keys pace and modulo operations.
    1. How long does it take (in second) to guarantee to find the correct key if you know a key length is 10 bits? Assume you need one second to verify the correctness of each key.
    2. List five possible numbers for x for the equation x 1 mod 7

  1. Assume the rules for generating a password are defined as follows:
    1. Has exactly 4 characters long.
    2. Must have one digit
    3. Must have one up case letter
    4. Must have one of these special characters ~!@#$%^&*()_+
    5. Must have one low case letter

How many possible passwords we can generate? You need to write the formula.

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