Non-personalized automobile license plates


In the state of Florida, non-personalized automobile license plates use 7 characters. The first 4 charactersare letters (always upper case), followed by 3 numeric digits. Answer each question separately from theothers.

a) How many possible different license plates can be created in Florida?

b) If you may not use a 0 in the first space of the numeric part of the license plate, how many possiblecodes are there?

c) If you may not repeat a letter, how many possible license plates are there?

d) Assuming that there are no restrictions on the 4 letters, what is the probability that the code chosenhas at least one letter repeated?

e) What is the probability that all the digits on the license plate are odd, if digits may be repeated?

f) What is the probability that all the digits on the license plate are odd, if digits may NOT be repeated?

g) What is the probability that the license plate contains at least one 2 or one 5 (digits may berepeated)?

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Basic Statistics: Non-personalized automobile license plates
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