Final answer:
The common peroneal nerve bifurcates into the deep peroneal nerve and superficial peroneal nerve, which innervate muscles in the anterior and lateral compartments of the leg, respectively.
Step-by-step explanation:
The common peroneal nerve bifurcates into two branches: the deep peroneal nerve and the superficial peroneal nerve. Therefore, the correct answer is b) Deep peroneal nerve and c) Superficial peroneal nerve. The deep peroneal nerve innervates the anterior compartment of the leg, including muscles such as tibialis anterior, extensor hallucis longus, extensor digitorum longus, and fibularis tertius, allowing for dorsiflexion and toe extension. The superficial peroneal nerve innervates the lateral compartment, which contains the fibularis longus and fibularis brevis muscles, and is responsible for foot eversion.