Step 1: Identify the slip system in FCC crystals.
The most common slip system in FCC crystals is the \( (111) \) plane and \( [10\bar{1}] \) direction because it provides the least resistance to dislocation motion, making it the easiest path for plastic deformation.
Step 2: Conclusion.
Thus, the most favored slip system in FCC metals is \( (111) [10\bar{1}] \).
Final Answer: \text{(D) \( (111) [10\bar{1}] \)}