A computer system uses passwords that contain exactly 3characters, and each character is 1 of the 3 lowercase letters (a,b, c) or 3 upper case letters (A, B, C) or the 5 odd digits (1, 3,5, 7, 9). Let Ω denote the set of all possible passwords, and let Aand B denote the events that consist of passwords with only lettersor only integers, respectively. Determine the number of passwordsfor Ω. Report the exact number.
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