Determine the set of relations in $3$NF and $4$NF for the relation R$($A$,$ B$,$ C$,$ D$)$ and the functional dependency and multi$-$valued dependency:

i$.$ A $->->$ B

ii$.$ A $->$ C$,$ D

Group of answer choices

R$1($A$,$ C$,$ D$)$ with primary key A$,$ and R$2($B$,$ C$,$ D$)$ with primary key B

R$($A$,$ B$,$ C$,$ D$)$ with composite primary key $($A$,$B$)$

R$1($A$,$ C$,$ D$)$ with primary key A$,$ and R$2($A$,$ B$)$ with composite primary key $($A$,$B$),$ and foreign key A$.$

R$1($A$,$ C$,$ D$)$ with primary key A and foreign key A$,$ and R$2($A$,$ B$)$ with composite primary key $($A$,$B$).$