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5. Password characters on a certain system are limited to 26 uppercase letters [A ... Z], 26 lowercase letters [a ... z z ], 10

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5. Password characters on a certain system are limited to 26 uppercase letters [A ... Z], 26 lowercase letters [a ... z z ], 10 digits [0 ... 9], and 3 special symbols [\#, \$, \%]. Suppose a password-cracking tool can generate and test 10,000,000 character strings (potential passwords) per second. Could all possible passwords of length 10 or less be generated and tested in under one week's time? (Use a spreadsheet to help find the answer.)

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