I'm taking a class in Discrete Mathematics, and one of the problems in my homework asks for a Simple Graph with 5 vertices of degrees 2, 3, 3, 3, and 5. How can I have more than 4 edges? I'm really confused, maybe I don't really understand what a "Simple Graph" means.
Since you only have 5 vertices, it is not possible in a simple graph to have a maximum degree of more than $5-1=4$. Hence, such a simple graph as required does not exist.