Is There Any Region on a Venn Diagram That Could

Is there any region on a Venn diagram that could never be marked with an X, or that could never be shaded by any categorical proposition?

A) Yes, there is one region that can never receive shading or an X.
B) Yes, there is one region that can never be shaded and then a different one that can never receive an X.
C) No, every region can be shaded and every region can receive an X.
D) Every region can be shaded, but there is one region that cannot receive an X.
E) Every region can receive an X, but there is one region that cannot be shaded.