Brandon J. answered 06/28/22
High School Math Teacher
Based on the phrasing of the question, it sounds like you are allowed to repeat numbers and letters. Just in case, I'll show you how to find both solutions.
If numbers and letters can be repeated:
26 x 26 x 10 x 10 x 10 x 10 x 10 x 10 = 676000000 codes
- Because there are 26 letters in the alphabet and 10 digits that can be chosen
If numbers and letters can not be repeated:
26 x 25 x 10 x 9 x 8 x 7 x 6 x 5 = 98280000 codes
- The numbers decrease because each time you select a number or letter, there is one less possibility for the next one that is chosen.
I hope this explanation made sense! Let me know if you need any elaboration.