Final answer:
The Security Council does not have veto power over the U.N. General Assembly; it can only exercise its veto within its own deliberations among the permanent members.
Step-by-step explanation:
The statement that the Security Council of the United Nations has veto power over the U.N. General Assembly is false. The Security Council is indeed tasked with maintaining global peace and stability, and it can make binding decisions which may include sanctions or other measures to maintain peace. However, its veto power is used within the council itself, where any of the five permanent members (United States, United Kingdom, France, Russia, and China) can veto a proposed action, blocking it even if all other members agree. The General Assembly and the Security Council operate as distinct entities, and the power dynamics are such that the General Assembly cannot be vetoed by the Security Council; they serve different functions and have their own processes within the structure of the United Nations.