A computer system uses passwords that contain exactly 6 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 that contain at least 1 integer. Report the exact number.

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.