Suppose that a password for a computer system must haveat least 8, but no more than 12 characters, where eachcharacter in the password is a lowercase English letter,an uppercase English letter, a digit, or one of the six specialcharacters ∗, >, <, !, +, and =. a) How many different passwords are available for thiscomputer system? b) How many of these passwords contain at least one occurrenceof at least one of the six special characters?

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