A license plate consists of seven symbols on each plate, where the first two symbols are letters of the alphabet and the following five symbols are the digits selected from the set StartSet 0 comma 1 comma 2 comma 3 comma 4 comma 5 comma 6 comma 7 comma 8 comma 9 EndSet? How many license plates can be produced if any digit or letter can be repeated on any given license plate?
The first two positions consists of letters of the alphabet, with repetition allowed, meaning there are 26 possible values that can be found in each of the two first positions
The next five positions only allow numbers, and repetitions are allowed, meaning there are 10 possible values that can be found in each of the last 5 values
26 x 26 x 10 x 10 x 10 x 10 x 10 = 67600000 = 6.76 x 10^7
