The correct comparison between the roles of the Board of Governors and the Federal Open Market Committee (FOMC) is:
The Board of Governors direct monetary policy and set the discount rate while the Federal Open Market Committee oversees open market operations and sets the target federal funds rate.
The Board of Governors plays a broad role in the formulation of national monetary policy, while the FOMC specifically focuses on the implementation of that policy through open market operations and the adjustment of the federal funds rate.