An island is considering adding another character to their vehicle license plates in order to increase the number of license plates available. Currently, a license plate must have exactly four-character spaces. Each character space may be filled with any capital letter other than I, B, Z, or O or any number between, and including 0 to 9. Letters and numbers may repeat on the plates. (a) How many different license plate numbers are available under the current structure of exactly four characters per plate? (b) If the state required all license plates to have exactly five characters instead of four, how many different lisense plate numbers would be available with the additional character requirement? (c) How many times bigger is the set of license plate numbers with exactly five characters than that with the set of four characters?
An island is considering adding another character to their vehicle license plates in order to increase the number of license plates available. Currently, a license plate must have exactly four-character spaces. Each character space may be filled with any capital letter other than I, B, Z, or O or any number between, and including 0 to 9. Letters and numbers may repeat on the plates.
(a) How many different license plate numbers are available under the current structure of exactly four characters per plate?
(b) If the state required all license plates to have exactly five characters instead of four, how many different lisense plate numbers would be available with the additional character requirement?
(c) How many times bigger is the set of license plate numbers with exactly five characters than that with the set of four characters?
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