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In: Advanced Math

22.7. Services that require a password often impose constraints to prevent the user from choosing a...

22.7. Services that require a password often impose constraints to prevent the user from choosing a password that is easy to guess. Consider a service that requires an 8-character password, using the 26 Roman letters (both lowercase and uppercase) and the 10 Arabic numerals.

(a) How many possible passwords are there?

(b) How many such passwords use no numerals? No lowercase letters? No uppercase letters?

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