How do I solve this problem, A license plate consists of 2 uppercase letters followed by 4 digits. If repetition of letters is allowed, and repetition of digits is not allowed, how many different license plates are possible?

Answer 1

There are 26 uppercase letters in the English alphabet and 10 digits (0-9).

For the first letter, there are 26 choices. Similarly, there are 26 choices for the second letter. For the first digit, there are 10 choices. However, for the second digit, we cannot repeat the first digit, so there are only 9 choices. Similarly, for the third digit, there are only 8 choices and for the fourth digit, there are only 7 choices.

Therefore, the total number of possible license plates is:

26 x 26 x 10 x 9 x 8 x 7 = 11,441,600