Suppose that license plates in a certain country are made up of

three letters followed by 2
digits followed by 3 more letters. How many license plates can be made if no repetitions are allowed within each set. (That is, no repetition within the first set of letters, the set of digits, or the last set of letters. But, for instance, there could be an "A" in the first set of letters and an "A" within the last set of letters)

1 answer

3 letters ... no rep ... 26 * 25 * 24

2 digits ... no rep ... (00 to 99) - 10

number of plates
... [(26 * 25 * 24)^2] * (100 - 10)