c$)(5$ pts$))$ Let R$=($A$,$B$,$C$)$ and S$=($A$,$F$)$ be two relational schemas, and let T$1$ be a relational

instance based on R and T$2$ be a relational instance based on S$.$ Let R$.$A be a primary key

on schema R$,$ and let S$.$A be a primary key on schema of S$.$ If $|$T$1|=100,$ and $|$T$2|=50,$

then what is the largest possible size for $||$ T$1$T$2?$

I. $0$

II$.50$

III. $100$

IV$.150$

V$.1500$