Final answer:
The correct option is A) subclavian vein
Step-by-step explanation:
The vein that does not drain into the axillary vein is the subclavian vein. The axillary vein is a major vein that drains the upper limb and becomes the subclavian vein as it passes through the thoracic outlet. The basilic vein is a superficial vein that leads to the axillary vein, the cephalic vein is another superficial vein that drains into the axillary vein, and the brachial vein also leads to the axillary vein. Therefore, the subclavian vein is formed after the axillary vein, and does not drain into it, making option A) subclavian vein the correct answer.