Final answer:
The clinical presentation suggests a lesion affecting the right oculomotor nerve, which is responsible for controlling eye movements, eyelid elevation, and pupil constriction.
Step-by-step explanation:
The symptoms described suggest a lesion affecting the right oculomotor nerve. The drooping of the eyelid (ptosis), the abnormal position of the eye (downward and outward), the pupillary dilatation, and the lack of response to light all indicate dysfunction in the nerve that controls these functions. The oculomotor nerve (Cranial Nerve III) innervates the majority of the extraocular muscles, as well as the muscles responsible for pupil constriction and opening the eyelid. Damage to this nerve can lead to the eye being 'down and out' due to unopposed action of the lateral rectus and superior oblique muscles, a dilated pupil from loss of parasympathetic input that would normally constrict the pupil, and drooping of the upper eyelid because the levator palpebrae superioris muscle cannot receive signals to contract.