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.