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

Question:

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

(a) Ω

(b) A

(d) Passwords that contain at least 1 integer

(e) Passwords that contain exactly 1 integer

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