The key bit in this question that makes the answer Cholecalciferol rather than 7-dehydrocholesterol is the nugget that the patient "rigorously avoids exposure to the sun." Conversion of 7-dehydrocholesterol to Cholecalciferol can only occur when the skin is exposed to sunlight. Therefore, decreased production of Cholecalciferol (D3) is the better answer.
This picture always helps me remember Vitamin D metabolism.
submitted by โhayayah(1212)
Notice, the stem says "precorsors in the skin"
D3 (cholecalciferol) from exposure of skin (stratum basale) to sun, ingestion of fish, milk, plants.
D2 (ergocalciferol) from ingestion of plants, fungi, yeasts.
Both converted to 25-OH D3 (storage form) in liver and to the active form 1,25-(OH)2 D3 (calcitriol) in kidney.