Step 1: Understanding the Equations and Methods.
- (A) Horton equation: Used for infiltration modeling, so it matches with (III).
- (B) Muskingum Method: Used for flood routing, so it matches with (II).
- (C) Chezy's formula: Used for calculating flow velocity in open channels, so it matches with (IV).
- (D) Dicken's formula: Used to estimate maximum flood discharge, so it matches with (I).
Step 2: Conclusion.
Thus, the correct matching is: (A) - (I), (B) - (II), (C) - (IV), (D) - (III). Therefore, option (2) is correct.
Final Answer:
\[
\boxed{2. \, (A) - (I), (B) - (II), (C) - (IV), (D) - (III)}
\]