Let $f ( z ) = z ^ { 7 } - 4 z ^ { 3 } - 11$. Pick the correct statement(s) from below.\\
(A) $f ( z )$ has at least 1 zero in the open set $\{ | z | > 2 \}$.\\
(B) $f ( z )$ has at least 5 zeroes in the annular region $\{ 1 < | z | < 2 \}$.\\
(C) $f ( z )$ has exactly 6 zeroes in the annular region $\{ 1 < | z | < 2 \}$.\\
(D) $f ( z )$ has exactly 1 zero in the closed disc $\{ | z | \leq 1 \}$.