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(Please pay attention to all the details, there are similar questions in chegg but no one is exactly this) Students are required to create 6-character

(Please pay attention to all the details, there are similar questions in chegg but no one is exactly this) Students are required to create 6-character long passwords to access the library. The letters must be from lowercase letters or digits. Each password must start with a or b, it also must contain at most three lowercase-letters (including the first letter) and contains no repeated digits (letters can be repeated). How many valid passwords are there?

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