Suppose that the format for license plates in a certain state is two letters followed by four

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Suppose that the format for license plates in a certain state is two letters followed by four numbers.
(a) How many different plates can be made?
(b) How many different plates are there if the letters can be repeated but no two numbers can be the same?
(c) How many different plates can be made if repetitions of numbers and letters are allowed except that no plate can have four zeros?
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