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Suppose a company wishes to assign a 10 character long username to every employee. The username can contain letters (uppercase and lowercase), digits (0 through

Suppose a company wishes to assign a 10 character long username to every employee. The username can contain letters (uppercase and lowercase), digits (0 through 9), and the two special characters ? and !.

(a) How many usernames are possible (with no restrictions on the allowed characters)?

(b) Suppose every username must contain an uppercase letter, a digit, and a special character. How many usernames satisfy these requirements?

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