Step 1:
Vaidyanatha Jyotirlinga is located in:
\[
\boxed{\text{Jharkhand}}
\]
Thus:
\[
A \rightarrow III
\]
Step 2:
Mallikarjuna Jyotirlinga is situated in:
\[
\boxed{\text{Andhra Pradesh}}
\]
Thus:
\[
B \rightarrow IV
\]
Step 3:
Tryambakeshwara is in Maharashtra, while Omkareshwara is in Madhya Pradesh.
\[
C \rightarrow I,\quad D \rightarrow II
\]
Step 4:
Hence, the correct sequence is:
\[
A-III,\; B-IV,\; C-I,\; D-II
\]
Therefore, the correct answer is:
\[
\boxed{\text{(4)}}
\]