Final answer:
The lacrimal bone does not house a paranasal sinus and is involved in the tear drainage system of the eye. The sinuses are located in the frontal, maxillary, sphenoid, and ethmoid bones. So, the correct option is c. Lacrimal.
Step-by-step explanation:
The bone that does not house a paranasal sinus among the options provided is the lacrimal bone. The paranasal sinuses are air-filled spaces located within certain cranial bones. These include the frontal sinuses in the frontal bone above the eyebrows, the large maxillary sinuses in the maxillary bones below the orbits, the sphenoid sinus in the body of the sphenoid bone, and multiple small spaces known as the ethmoid air cells within the ethmoid bone.
The lacrimal bone, however, forms a part of the medial wall of the orbit and does not contain any paranasal sinuses. The lacrimal bone is involved in the formation of the lacrimal fossa, which houses the lacrimal sac, playing a vital role in the drainage system of the eye for the tears produced, rather than being part of the sinus system. In summary, the correct option that does not house a paranasal sinus is the lacrimal bone, which is primarily involved in the tear drainage system of the eye.