Answer: 67600000000
Step-by-step explanation:
The password has length 10 characters using 2 letters (A,...,Z) and 8 digits (0,1,...,9).
Total letters = 26
Total digits = 10
If repetition is allowed, then the number of different passwords of length 10 can be formed = [tex](26)^2\times (10)^8=67600000000[/tex]
Hence, the different passwords of length 10 can be formed = 67600000000