how many different license plates are possible with two letters followed by three digits between 0 and 9
To determine the number of different license plates possible, we need to consider each component separately.
1. The number of different letters: In the English alphabet, there are 26 letters from A to Z. Since we are considering two letters, the number of different combinations is 26 * 26 = 676.
2. The number of different digits: There are 10 digits between 0 and 9. As we are considering three digits, the number of different combinations is 10 * 10 * 10 = 1000.
To find the total number of different license plates possible, we multiply the number of letter combinations by the number of digit combinations: 676 * 1000 = 676,000.
Therefore, there are 676,000 different license plates possible with two letters followed by three digits between 0 and 9.