Consider a database relation $R$ with attributes ABCDEFG , and having the following functional dependencies:

$$ \mathrm{A} \rightarrow \mathrm{BCEF} \quad \mathrm{E} \rightarrow \mathrm{DG} \quad \mathrm{BC} \rightarrow \mathrm{~A} $$

Which of the following statements is/are correct?