I have a question - actually it is a question in an assignment: If a solid has 6 faces, what are the possible combinations of vertices and edges it can have?

Using Euler's formula:

V-E+F = 2
=> V-E+6=2
=> 4 = E-V

Which to me says: an unlimited number as long as the difference between the number of Edges and Vertices is always 4. But logically this does not make sense. Please help?