Concept:
The Natyashastra describes various body positions, movements, and formations used in Indian classical dance. These include:
• Sthanas -- Standing postures
• Karanas -- Coordinated dance movements
• Charis -- Leg and foot movements
Step 1: Match the posture for Men (Sthana).
\[
\text{Alidha}
\]
is a masculine standing posture described in the Natyashastra.
Thus:
\[
A \rightarrow II
\]
Step 2: Match Karana.
\[
\text{Talapushpaputa}
\]
is one of the famous:
\[
\text{Karanas}
\]
Thus:
\[
B \rightarrow III
\]
Step 3: Match the posture for women (Sthana).
\[
\text{Avahittha}
\]
is a feminine standing posture.
Thus:
\[
C \rightarrow I
\]
Step 4: Match Bhaumi Chari.
\[
\text{Shakatasya}
\]
belongs to:
\[
\text{Bhaumi Chari}
\]
which are movements performed on the ground.
Thus:
\[
D \rightarrow IV
\]
Step 5: Write the final matching sequence.
The correct matching is:
\[
A\text{-}II,\ B\text{-}III,\ C\text{-}I,\ D\text{-}IV
\]
Step 6: Compare with the given options.
Among the given choices:
\[
(A)\ A\text{-}II,\ B\text{-}III,\ C\text{-}I,\ D\text{-}IV
\]
\[
(B)\ A\text{-}I,\ B\text{-}II,\ C\text{-}IV,\ D\text{-}III
\]
\[
(C)\ A\text{-}III,\ B\text{-}IV,\ C\text{-}I,\ D\text{-}II
\]
\[
(D)\ A\text{-}IV,\ B\text{-}I,\ C\text{-}III,\ D\text{-}II
\]
the correct answer is:
\[
\boxed{A\text{-}II,\ B\text{-}III,\ C\text{-}I,\ D\text{-}IV}
\]
Hence:
\[
\boxed{\mathrm{(A)}}
\]