Within your office there are eight file types $($A$,$ B$,$ C$,$ D$,$ E$,$ F$,$ G$,$ and H$)$ which are currently placed within three folder types $($Green$,$ Yellow, and Red$).$ There are sorting rules associated the file types, such that:

No more than three file types can be placed in a folder at one time.

The Red folder can only hold two file types.

File type $A$ is always placed in the Green folder.

If file type B is placed in the Yellow folder, then file type $C$ is placed in the Green folder.

File types A and G must never be placed in the same folder.

File types H and D must always be placed in the same folder.

Given the above sorting rules, if file type H is not placed in the Red folder, and file type B is placed in the Yellow folder, which of the following statements is true?

File type $H$ could be placed in the Green folder.

File type E could be placed in the Green or Red folder.

File type C could be placed in the Green or Red folder.

File type F must be placed in the Red folder.

File types $D$ and $E$ could be placed in the same folder.