Question

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

Answer 1

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.