Question

Suppose that a code (similar to a postal code) is of the form LDL DLD, where...

Suppose that a code (similar to a postal code) is of the form LDL DLD, where 'L' is an uppercase letter from A to W (i.e., 23 possible letters) and 'D' is a digit from 0 to 5. Suppose that such a code is randomly generated.
(a) Find the probability that the code has no repeated letters.
(b) Find the probability that the code either starts with an 'A' or ends with an even digit (note that 0 is even).
(c) Find the probability that the code starts with an 'A' and does not contain any 'B's.

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