Answer:
Permutations
Explanation:
We are dealing with permutations because the order of the digits matters. For example, 12345 and 54321 are different lock codes.
Here's why:
- Permutations: The order of the items matters.
- Combinations: The order of the items does not matter.
In the case of a 5-digit lock code, the order of the digits matters because each digit represents a different position on the lock. If we enter the digits in the wrong order, the lock will not open.
To calculate the number of possible permutations for a 5-digit lock code, we can use the following formula:

where:
n is the total number of items (in this case, 10 digits)
r is the number of items we are selecting (in this case, 5 digits)
So, the number of possible permutations for a 5-digit lock code is:

This means that there are 30,240 possible lock codes for a 5-digit lock.