Answer
10,000 different codes are possible.
Work Step by Step
For each digit there are 10 possibilities (repetition of digits is allowed).
Using the Multiplication Rule of Counting (see page 298):
$10\times10\times10\times10=10,000$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.