Final answer:
There are 67,600 ways to select a VIP license plate, which is calculated using the multiplication principle and considering 26 possibilities for each of the two alphabets and 10 possibilities for each of the two numbers.
Step-by-step explanation:
The question asks how many ways a VIP license plate can be selected if the plate begins with 2 alphabets followed by 2 numbers, with repetition allowed. To calculate the number of combinations for the VIP license plate, we use the multiplication principle. For each of the first two positions, there are 26 possibilities (since there are 26 letters in the English alphabet), and for each of the last two positions, there are 10 possibilities (since there are 10 digits from 0 to 9).
Therefore, the total number of ways to select a VIP license plate is calculated as follows:
- First alphabet position: 26 possibilities
- Second alphabet position: 26 possibilities
- First number position: 10 possibilities
- Second number position: 10 possibilities
By the multiplication principle, the total number of combinations is 26 × 26 × 10 × 10, which equals 67,600 ways to select a VIP license plate.