Final answer:
There are 6,760,000 different 7-place license plates possible if the first 2 places are for letters and the other 5 for numbers.
Step-by-step explanation:
To determine the number of different 7-place license plates that are possible, we need to consider the number of options for each place. In this case, the first 2 places are for letters and the other 5 places are for numbers.
For the first letter, there are 26 options (A-Z), and for the second letter, there are also 26 options (A-Z). Therefore, the number of options for the two letters combined is 26 * 26 = 676.
For the remaining 5 places for numbers, each place has 10 options (0-9). So the total number of options for the numbers is 10 * 10 * 10 * 10 * 10 = 10,000.
To get the total number of possible license plates, we multiply the number of options for the letters and the numbers: 676 * 10,000 = 6,760,000.