AMDA WORK MUST BE SHOWN

Question

The State of Florida has determined that it will use the format of 3 letters followed by 2 numbers for their license plates. Because their state's population is so large, they are going to have “specialty” tags available and these specialty tags will have a design of a college located in Florida (ex: Florida, Florida State, Miami, UCF, USF, etc…). The residents have a choice of 9 different specialty tags. How many specialty tags are available under this rule?

**(Hint: Florida State tag AAA 11 and Miami tag AAA 11 have the same format for letters but since they are different colleges, these are considered to be TWO DIFFERENT TAGS!) WORK MUST BE SHOWN

Answer 1

There are three letters and 26 possibilities for each which gives 26x26x26, or 26³, possibilities.  There are also 2 numbers and 10 possibilities for each which gives 10x10, or 10², possibilities, which must be multiplied by the letter possibilities.  So there are 26³x10² possibilities.  Since each specialty tag can use the same combination of letters and numbers, just multiply this number by the number of possible specialty tags (9).