Overview How many possibilities exist for different license plates on a standard passenger vehicle? In this project, you will investigate the various restrictions and combinations. Part 1 Choose a state in the United States that issues license plates. Research the rules for license-plate formats for standard passenger vehicles in your chosen state. How many total non-space characters are used? (For a meaningful investigation, choose a state in which the total non-space characters are at least 3, but no more than 10.) characters Of the total number of non-space characters on the license plate, how many are letters, and how many are digits? total characters that are digits total characters that are letters Part 2 Assume that the digits 0-9 are available for each character that is a digit, and the letters A-Z are available for each character that is a letter. Calculate the number of different license plates that are possible given your responses in Part 1. different license plates Part 3 Suppose that any letters in your first name are now eliminated from license plates in your chosen state. How many unique letters are in your first name? How many license plates are possible now? different license plates Part 4 Suppose that the location of a space matters such that, for example, ABC 123 is a different plate than AB C123. How many plates are possible if the restrictions from Part 1 (only) apply and the license plate is to contain a total of one space - but between any two characters