Each of the following is a different kind of password. An attacker can always try to bypass password security by guessing every possible password that might exist. In the worst case (for the attacker), the correct password is the last one that they guess. So increasing the number of potential passwords makes password protection more effective. For each password type, compute the number of passwords of that type that exist. Justify your answers (show your work). (a) Eight lower-case English letters. (b) Four base-10 digits.

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