Final answer:
Force.com record IDs will be identical in the Production and Full Copy Sandbox environments because a Full Copy Sandbox is an exact replicate of the production environment, including all data and corresponding record IDs.
Step-by-step explanation:
The question is regarding the uniqueness of Force.com record IDs across different Salesforce environments. In Salesforce, when you create a Full Copy Sandbox, it is intended to be an exact copy of your production environment, including the data. Thus, the record IDs in a Full Copy Sandbox will be identical to those in the production environment. This is very useful for testing because it ensures that relationships between records are maintained.
However, in a Developer Sandbox, the data is not copied from production, and new records created will have different record IDs. Therefore, the only environment where the Force.com record IDs will be identical to those in the production environment is the Full Copy Sandbox.
With that said, the correct answer to the question 'In which Salesforce environments will the Force.com record IDs be identical?' is option 1) Production and Full Copy Sandbox only.