Final answer:
The total number of different license plates that can be manufactured using two letters followed by five numbers is 67,600,000.
Step-by-step explanation:
The question is asking about the number of different license plates that can be created using a specific template. In this template, a license plate consists of two letters followed by five numbers. Since there are 26 letters in the English alphabet and 10 possible digits (0 to 9) for each number, the calculation for the total number of different license plates is 26² * 10µ (26 possibilities for each of the two letters and 10 possibilities for each of the five numbers).
Therefore, the total number of different license plates that can be manufactured is:
- 26 * 26 = 676 combinations for the letters, and
- 10 * 10 * 10 * 10 * 10 = 100,000 combinations for the numbers.
So, the total number of different license plates is 676 * 100,000 = 67,600,000.