Adhesions come from prior abdominal (peritoneal) surgery, and the sources stress that open surgery causes more adhesions than laparoscopy. That rules out the two laparoscopic patients (A, E), and an inguinal hernia repair does not enter the peritoneal cavity (B). Of the two open intra-abdominal operations, repair of a perforated peptic ulcer (laparotomy with peritoneal contamination) is the best fit for the highest risk. However, the sources never directly compare it with an open appendectomy.