Answer
35,152,000
Work Step by Step
For the first case, we have 10 choices for each of the first three digits (0-9) and 26 choices for each of the last three letters (A-Z). Therefore, the total number of license plates with three digits followed by three uppercase English letters is:
10 x 10 x 10 x 26 x 26 x 26 = 17,576,000
For the second case, we have 26 choices for each of the first three letters (A-Z) and 10 choices for each of the last three digits (0-9). Therefore, the total number of license plates with three uppercase English letters followed by three digits is:
26 x 26 x 26 x 10 x 10 x 10 = 17,576,000
To get the total number of possible license plates, we add the results of the two cases:
17,576,000 + 17,576,000 = 35,152,000
Therefore, there are 35,152,000 possible license plates that can be made using either three digits followed by three uppercase English letters or three uppercase English letters followed by three digits.
