How many license plates can be made using 3 different letters followed by 3 different digits if the first digit cannot be 0 and the letter O is not used?
A)19,440,000
B)29,160,000
C)8,942,400
D)6,259,680
E)none of the above

Question

Quizplus · Accepted Answer

There are 23 letters available (26 - 1 O and 2 Q) and 9 digits available (0 is not allowed for the first digit). Using the multiplication principle, the number of possible license plates is:
23 choices for the first letter * 22 choices for the second letter * 21 choices for the third letter * 9 choices for the first digit * 10 choices for the second digit * 10 choices for the third digit = 8,942,400.

How Many License Plates Can Be Made Using 3 Different