Concept:
Different garden styles are known for characteristic design elements.
Step 1: Match Persian garden.
Persian gardens are associated with flowing canals and water channels.
\[
A\rightarrow III
\]
Step 2: Match French garden.
French gardens are associated with formal green rooms.
\[
B\rightarrow IV
\]
Step 3: Match Mughal garden.
Baradari is associated with Mughal garden architecture.
\[
C\rightarrow I
\]
Step 4: Match Japanese garden.
Stone lantern is a common feature of Japanese gardens.
\[
D\rightarrow II
\]
Therefore:
\[
A-III,\ B-IV,\ C-I,\ D-II
\]
\[
\therefore \text{Correct Answer is (D)}
\]