Final answer:
Cholecystostomy is the procedure that requires an opening into the gallbladder to permit drainage and removal of stones.
Step-by-step explanation:
The procedure that requires an opening into the gallbladder to permit drainage and removal of stones is Cholecystostomy.
Cholecystostomy is a surgical procedure in which a tube is inserted through the abdomen and into the gallbladder to allow for drainage and removal of gallstones. This procedure is typically performed when the gallbladder is inflamed or infected.
For example, if a patient has severe gallbladder inflammation and the stones cannot be removed through other non-surgical methods, the doctor may recommend a cholecystostomy.