Site-specific absorption rule. Most nutrients can be taken up over a long stretch of small bowel, but two things are absorbed ONLY in the terminal ileum: vitamin B12 and bile salts. The jejunum handles fluids, electrolytes, iron, folate, fat, protein and carbohydrate, yet it cannot rescue B12 because it lacks the dedicated transporters.
Consequence: remove the entire ileum and you remove the sole B12 uptake site, so B12 deficiency is inevitable, and bile salt loss adds fat malabsorption on top.
Rule out the rest: atrophic gastritis is a stomach problem, not an ileal one; loss of the terminal ileum and ileocaecal valve speeds transit and causes diarrhoea, the opposite of constipation; and because a real deficiency does occur, None is wrong. The answer is vitamin B12 deficiency. Ref: Bailey and Love, Short Practice of Surgery, 27th edition, 2018.