Step 1: Understanding the Concept:
The United Nations Security Council (UNSC) is one of the six principal organs of the United Nations, responsible for maintaining international peace and security.
The membership and voting rights are designed to reflect a balance of power among the world's major nations.
Step 2: Detailed Explanation:
Statement I is correct because the UN Security Council consists of 15 members in total.
There are 5 permanent members: the United States, Russia, the United Kingdom, France, and China.
The remaining 10 members are non-permanent and are elected for two-year terms by the General Assembly.
Statement II is correct because the five permanent members possess the 'Veto' power.
This power allows any of the five permanent members to block the adoption of any "substantive" draft resolution, regardless of the level of international support the resolution has.
Step 3: Final Answer:
Since both statements regarding the structure and voting mechanism of the UNSC are factually accurate, Option (A) is the correct choice.