Final answer:
The correct code for the patient's condition of acute gangrenous cholecystitis with cholelithiasis is K81.1.
Step-by-step explanation:
The correct code for the patient's condition of acute gangrenous cholecystitis with cholelithiasis is K81.1. This code specifically represents acute gangrene of gallbladder with calculus. Acute gangrenous cholecystitis is a severe inflammation of the gallbladder caused by the blockage of the cystic duct by gallstones. Cholelithiasis refers to the presence of gallstones in the gallbladder.