For the purposes of this problem, you should not assume anything other than what is stated in the problem. For example, you should not assume that the Vertex Cover problem or the Independent Set problem is in NP or is NP-hard.

Suppose we knew that:

there is a polynomial-time reduction from Vertex Cover to Independent Set and

the Vertex Cover Problem can be solved in polynomial time. With these assumptions, indicate which of the following choices is the right one (you dont have to give any explanations.)

1. We know for sure that Independent Set can be solved in polynomial time.

2. We know for sure that Independent Set cant be solved in polynomial time.

3. We cant say for sure whether or not Independent Set can be solved in polynomial time.