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A computer system uses passwords that contain exactly six characters, and each character is 1 of...

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Basic Math

A computer system uses passwords that contain exactly sixcharacters, and each character is 1 of the 26 lowercase letters(a–z) or 26 uppercase letters (A–Z) or 10 integers (0–9). Let ?denote the set of all possible passwords, and let A and B denotethe events that consist of passwords with only letters or onlyintegers, respectively. Determine the number of passwords in eachof the following events.

(a) Password contains all lowercase letters given that itcontains only letters (b) Password contains at least 1 uppercaseletter given that it contains only letters (c) Password containsonly even numbers given that it contains all numbers

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