How many license plates can be made which have the form ##lll (2 numbers followed by 3 letters with repetition allowed) ?

a. 1,757,600
b. 175,600
c. 3,840,500
d. 2,947,000

Number of wars two numbers can be formed with repetition allowed = 10^2 = 100 ways.
Number of ways 3 letters can be formed with repetition allowed = 26^3 = 17,567

Therefore, Number of license plates that can be made with 2 numbers followed by 3 letters with repitition allowed = 100 x 17,567 = 1,757,600

option a is the correct answer.