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After a recent digital security breach, an IT technician has mandated that all users update their passwords using a new set of criteria. The following is the criteria for the new passwords: . MUST be 8 characters long . MUST contain 2 capital letters . MUST contain 2 lowercase letters . MUST contain 1 number . Must contain 1 of 33 special characters a. What is the total possible number of passwords? (use scientific notation if necessary) b. How many total passwords are possible if the first two characters are your first and last initials (assume they are capitalized)? c. If a password is created using a random password generator that follows the required criteria, then what is the probability a password is generated that has the first two digits as the users first and last initials (assume they are capitalized)