The number of different passwords that can be created with only digits and letters (both uppercase and lowercase) with no repetition can be calculated using the formula for permutations.
The number of permutations of n objects taken r at a time is given by:
P(n, r) = n! / (n - r)!
where n is the total number of objects and r is the number of objects taken at a time.
In this case, we have 26 letters (both uppercase and lowercase) and 10 digits, for a total of 36 characters. We want to create passwords of length 8 with no repetition.
The number of different passwords that can be created is:
P(36, 8) = 36! / (36 - 8)! = 4,660,331,769,600
There are 4,660,331,769,600 different passwords that can be created with only digits and letters (both uppercase and lowercase) with no repetition and length of 8.