Step 1: Break the name down. Dacryocyst = lacrimal sac, rhino = nose, stomy = a new opening. So dacryocystorhinostomy (DCR) creates a fresh drainage channel between the lacrimal sac and the nose.
Step 2: Surgically the bone of the medial wall next to the sac is removed and the sac is anastomosed to the lateral nasal mucosa at the middle meatus. This bypasses a blocked nasolacrimal duct so tears drain again. It can be done by an external (open) or an endonasal (endoscopic) approach.
Step 3: The big advantage of DCR over dacryocystectomy (removal of the sac) is that watering of the eye, epiphora, is cured rather than left behind. Indications include nasolacrimal duct obstruction and recurrent dacryocystitis.
Step 4: Option a (probing the duct end) and option d (a drainage tube) are not the definition, and option c describes dacryocystectomy. The correct description is connecting the lacrimal sac to the nose by breaking the medial wall.