Given the relation R $($A$,$ B$,$ C$,$ D$,$ E$,$ G$,$ H$)$ and Fo: $($fd$1,$ fd$2,$ fd$3,$ fd$4,$ fd$5,$ fd$6,$ fd$7)$ where

fd$1$: A $$ D$$

fd$2$: G $$ A$$

fd$3$: B $$ H$$

fd$4$: G $$ E $$

fd$5$: C $$ B$$

fd$6$: $($G$,$H$)$ B$$

fd$7$: $($G$,$H$)$ C $$

Assuming you select the candidate key with the most desirable functional dependencies as your primary key, what are the desirable fds in Fc$?$

Group of answer choices

fd$1$

fd$3$

fd$7$

fd$1,$ fd$2,$ fd$3,$ fd$4,$ fd$5$

fd$2$ and fd$4$