Answer
$2,600,000$ different license plate numbers can be made.
Work Step by Step
- One letter: there are 26 letters.
- Five digits: for each digit there are 10 choices (repetitions are allowed).
Using the Multiplication Rule of Counting (see page 298):
$10\times10\times10\times10\times10=10^5=100,000$
- The plate:
Using the Multiplication Rule of Counting (see page 298):
$26\times100,000=2,600,000$