Concept:
Adaptive (acquired) immunity has two arms: humoral immunity, which works through antibodies, and cell-mediated immunity, which works through direct cell action. We need to identify the cell type that drives the cell-mediated arm.
Step 1: T-cells (T-lymphocytes) are the central players in cell-mediated immunity. Helper T-cells coordinate the response and cytotoxic T-cells directly kill virus-infected and abnormal cells. This is the hallmark of the cell-mediated response.
Step 2: The others don't fit — B-cells run the humoral (antibody) arm, thrombocytes (platelets) are for blood clotting, and mast cells are involved in allergy and inflammation, not cell-mediated adaptive immunity.
Answer: Option (4) — T-cells are primarily involved in cell-mediated adaptive immunity. (4)