$3.$ please explain, Consider the table below:

A B C

a$1$ b$1$ c$1$

a$1$ b$2$ c$2$

a$2$ b$3$ c$1$

a$2$ b$3$ c$2$

a$3$ b$4$ c$2$

For each of the functional dependencies listed below, indicate whether it holds or not. If it holds, write OK$.$ If it does not hold, indicate tuples in the table above that violate the functional dependency. Refer to the tuples as $1,2,3,4,$ and $5$;$$ for example, you may say that A $->$ C fails because of the tuples $1,2,3,4.$

Functional Dependency Holds?

B $->$ A

A $->$ B

C $->$ B

A $->$ C

B $->$ C

BC $->$ A

AC $->$ B

AB $->$ C