Given the same Product table as previously:

Product $($ProductID$($PK$),$ ProductName, Price, SubCategoryName, CategoryName, CategoryDescription$)$

with functional dependencies

ProductID $$ ProductName, Price, SubCategoryName

SubCategoryName $$ CategoryName

CategoryName $$ CategoryDescription

Which of the following are correct?

The following would be a $3$rd NF version of the schema: Product$($ProductID$($PK$),$ ProductName, Price, SubcategoryName$($FK$))$; SubCategory$($SubCategoryName$($PK$),$ CategoryName$($FK$))$; Category$($CategoryName$($PK$),$ CategoryDescription$)$

The initial Product table is in $3$rd Normal Form

The initial Product table is in $2$nd Normal Form

The following would be a $3$rd NF version of the schema: Product$($ProductID$($PK$),$ ProductName, Price, SubcategoryName$($FK$))$; SubCategory$($SubCategoryName$($PK$),$ CategoryName, CategoryDescription$)$;