Poisson's ratio is a measure of the lateral deformation that occurs when a material is subjected to axial loading. In ductile materials, the range of Poisson's ratio is typically between 0.25 and 0.33. This range is due to the fact that ductile materials are able to undergo large amounts of plastic deformation before failure.

Factors affecting Poisson's ratio
Some of the factors that affect the Poisson's ratio of ductile materials include:
- Microstructure of the material
- Temperature and pressure
- Strain rate
- Loading conditions

Explanation of options
(a) 0.10 to 0.15: This range is too low for ductile materials. Poisson's ratio in this range is more appropriate for brittle materials.
(b) 0.16 to 0.20: This range is also too low for ductile materials. Poisson's ratio in this range is more appropriate for materials that are slightly ductile but still tend to fail in a brittle manner.
(c) 0.25 to 0.33: This is the correct range for Poisson's ratio in ductile materials. This range allows for significant plastic deformation before failure.
(d) 0.21 to 0.24: This range is slightly lower than the correct range, but still within the ductility range. However, materials with Poisson's ratio in this range may tend to fail in a more brittle manner than those with higher Poisson's ratios.

Conclusion
In summary, the range of Poisson's ratio for ductile materials is typically between 0.25 and 0.33. This range allows for significant plastic deformation before failure and is influenced by various factors such as microstructure, temperature, pressure, strain rate, and loading conditions.