You have a table R with five fields A$,$ B$,$ C$,$ X$,$ and W with the following functional dependencies:

X $->$ A

W $->$ B

B$,$ W $->$ A$,$ C$,$ X

$1.$ What is the only choice for the primary key of this table? Give a complete explanation why this is the primary key $($and not something else$).$

$2.$ Give one normal form that the table does not satisfy. Explain why the table does not satisfy that normal form.

$3.$ Convert table R into tables satisfying $3$NF$.$