Step 1: Statement (A) is correct: floods result from many interacting factors (rainfall, catchment shape, soil moisture, land use, etc.), so purely analytical modelling is difficult.
Step 2: Statement (C) is correct: for design flood estimation, extreme rainfall values are used to derive the design storm.
Step 3: Statement (E) is correct: the rational formula assumes the catchment is homogeneous, with uniform rainfall intensity and runoff coefficient.
Step 4: Statement (B) is incorrect as stated: the enveloping curve technique relates the maximum observed flood flow (not the minimum) to the drainage area for regions with similar climate.
Step 5: Statement (D) is incorrect as stated: the rational formula is normally considered reliable for small catchments up to about 50 km\(^2\), not 75 km\(^2\).
So the correct statements are (A), (C) and (E) only, option 1.