In a certain state, license plates consist of three letters followed by three numbers. a. How many

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In a certain state, license plates consist of three letters followed by three numbers. 

a. How many different license plates can be made?

b. How many different license plates can be made in which no letter or number appears more than once?

c. A license plate is chosen at random. What is the probability that no letter or number appears more than once?

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