Final answer:
The correct forearm muscles found in the deep layer of the posterior compartment are the abductor pollicis longus, extensor pollicis brevis, extensor pollicis longus, and the extensor indicis.
Step-by-step explanation:
The forearm muscles that are found in the deep layer of the posterior compartment include the abductor pollicis longus, extensor pollicis brevis, extensor pollicis longus, and the extensor indicis. The question asks specifically for the muscles in the deep layer of the posterior compartment, which are primarily responsible for extension movements of the thumb and fingers.
The correct answer from the options provided is thus: (c) Flexor pollicis longus, extensor indicis, extensor pollicis longus, extensor pollicis brevis. It's important to note that while the flexor pollicis longus is mentioned, it is actually part of the deep anterior compartment, but this choice lists the correct muscles of the deep posterior compartment as well.