Answer:
The correct option is 3.
Explanation:
It is given that License plates in the great state of Utah consist of 2 letters and 4 digits.
Total number of letters (A,B,...,Z) = 26
Total number of digits (0,1,2..,9)= 10
Total ways to select a letter is 26 and total ways to select a digit is 10. So, total number of ways to select 2 letter and 4 digits is

Total ways to arrange these two 2 letter and 4 digits are

Because total number of places are 6. In which letter can be repeated 2 times and digit can be repeated 4 times.
Total possible plates are

Therefore the correct option is 3.