For many years, a state used Three letters followed by two digit on its automobile license place

Question

How many different license plates are possible with this arrangement

Answer 1

You can find the answer to this question by using the Fundamental Counting Principle. There are 26 letters in the English alphabet, so 26*26*26 (26^3) for the letters. Then there are 10 numbers that can be used for the 2 digits, so 10*10.

The final answer is 26*26*26*10*10 = 1,757,600 license plates possible.

Answer 2

26*26*26*10*10