Consider the statements given below:

S$1$: If the $$ candidate key $$ consists of $$ n $$ attributes for a relation R$,$ then $$ primary key $$ attribute$-$set always has less than $$ n $$ attributes for the same relation.

S$2$: If a relation does not have a $$ candidate key $$ still it can have a $$ primary key $.$

Choose the correct option:

S$1$: True; S$2$: True

S$1$: True; S$2$: False

S$1$: False; S$2$: False

S$1$: False; S$2$: True