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You are making an 8 character password for your online account. The possible characters are the lowercase letters (a,b,...,z), the uppercase letters (A,B,...,Z) and the numerals 0,1,...,9. How many passwords can you make that follow the given rules? (note, treat each part as a different problem.) (a) No restrictions. (b) All characters must be different. (c) It cannot have any numerals. (d) It must have at least one numeral. (e) It cannot start with an uppercase letter. (f) It cannot be any one character that repeats itself 8 times. (g) It must contain at least one lowercase letter, at least one uppercase letter and at least one numeral.
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