a state is considering license plates that have four letters followed by two digits. assuming no combinations are excluded, how many different plates are possible of no repetitions of letters or digits are allowed?

Choose from among 26 letters for first position, among 25 letters for the second position , among 24 letters for the third position and among 23 letters for fourth position. Now choose from among 10 digits for the fifth position and among 9 digits for the sixth position. We used multiplication because we are matching up possibilities