1. 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? Show your calculations.
(a) If the state required all license plates to have exactly five characters instead of four, how many
different license plate numbers would be available with the additional character requirement? Show
your calculations.
(a) How many times bigger is the set of license plate numbers with exactly five characters than that with
the set of four characters? Show your calculations.