Use the fundamental counting principle to solve the problem

Use the fundamental counting principle to solve the problem. 12) How many license plates can be made consisting of 3 letters followed by 2 digits?

Solution

There are 26 choices for each of first 3 letters, and then 10 choices for each of next 2 digits.

The product has a total of 26 * 26 * 26 * 10 * 10 = 1757600