Answer:
A state’s license plates consist of 3 letters followed by 4 numbers.
Since we know that, in English alphabet there are 26 letters and also there 10 digits on a number scale ranging from 0 to 9
Case 1: When repetition is allowed.
Therefore , the total number of license plates that can be generated
= 26 ×26×26×10×10×10×10
= 175,760,000
Case 2: When repetition is not allowed.
Therefore, the total number of license plates that can be generated
= 26×25×24×10×9×8×7
= 78,624,000