How many different car license plates can be made using three letters followed by three digits if no letter can be repeated and zero cannot be used as the first digit?

Number of possible groups of 3 letters = 26 x 25 x 24 = 15,600. For each of these . . .

Number of possible groups of 3 digits = 9 x 9 x 8 = 648 .

Total number of possible distinct plates = 15,600 x 648 = 10,108,800