Answer:
Step-by-step explanation:
The answer is b. 6,760,000.
Here's how to find the number of license plates possible:
Number of letters:
There are 26 letters (A-Z) that can be used for the first position.
There are also 26 letters that can be used for the second position (no replacement).
Number of digits:
Each of the 4 digit positions can be filled with any of the 10 digits (0-9).
Total possibilities:
Multiply the possibilities for letters and digits:
Total plates = Letters (position 1) * Letters (position 2) * Digits (position 1) * Digits (position 2) * Digits (position 3) * Digits (position 4)
Total plates = 26 * 26 * 10 * 10 * 10 * 10
Total plates = 676 * 10 * 10 * 10 * 10
Total plates = 6760 * 10 * 10 * 10
Total plates = 67600 * 10 * 10
Total plates = 676000 * 10
Total plates = 6,760,000
Therefore, there are 6,760,000 possible license plates with two unique letters followed by four unique digits.