To determine how many of the statements (A-E) are correct, we will evaluate each statement one by one.
### Step-by-Step Solution:
1. **Evaluate Statement A**:
- **Statement**: In liverworts, mosses, and ferns gametophytes are free living.
- **Analysis**: This statement is true. In liverworts (bryophytes), mosses (bryophytes), and ferns (pteridophytes), the gametophyte stage is indeed free-living and independent.
- **Conclusion**: Statement A is correct.
2. **Evaluate Statement B**:
- **Statement**: Gymnosperms and some ferns are heterosporous.
- **Analysis**: This statement is true. Heterospory refers to the production of two different types of spores (microspores and megaspores). Gymnosperms and some ferns exhibit this characteristic.
- **Conclusion**: Statement B is correct.
3. **Evaluate Statement C**:
- **Statement**: Sexual reproduction in Fucus, Volvox, and Albugo is oogamous.
- **Analysis**: This statement is true. Fucus (a brown alga), Volvox (a green alga), and Albugo (a fungus) all exhibit oogamous reproduction, where the female gamete is larger and non-motile, while the male gamete is smaller and motile.
- **Conclusion**: Statement C is correct.
4. **Evaluate Statement D**:
- **Statement**: The sporophyte in liverworts is more elaborate than that in mosses.
- **Analysis**: This statement is false. In fact, the sporophyte of mosses is generally more complex and elaborate compared to that of liverworts.
- **Conclusion**: Statement D is incorrect.
5. **Evaluate Statement E**:
- **Statement**: Both Pinus and Marchantia are dioecious.
- **Analysis**: This statement is false. Pinus (a gymnosperm) is monoecious, meaning it has both male and female reproductive structures on the same plant, while Marchantia (a liverwort) is dioecious, having separate male and female plants.
- **Conclusion**: Statement E is incorrect.
### Summary of Correct Statements:
- Correct Statements: A, B, C
- Incorrect Statements: D, E
### Final Count:
- Total Correct Statements: 3
### Answer:
The number of correct statements is **3**.
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