Final answer:
California state court judges can be removed from office by voting them out, removal by the Commission on Judicial Performance, or through a recall, hence 'all of these answers' is correct.
Step-by-step explanation:
In California, state court judges can be removed from office through the process of a recall, which allows voters to remove an elected official before the completion of their term. This mechanism is a crucial component of California's direct democracy, providing a check on judicial power alongside initiatives and referendums.
Additionally, there is a distinct procedure involving the Commission on Judicial Performance to address judicial misconduct, which can also lead to the removal of judges from office. Therefore, the accurate response to the question of which method can remove California state court judges from office is 'c) all of these answers.' This reflects the dual avenues of recall by voters and the Commission on Judicial Performance, ensuring accountability and integrity within the state's judiciary.