A character in human beings is being controlled by 5 polygenes. The possible phenotypes are

Options

A. 11
B. 10
C. 9
D. 25

Answer

To solve the question about the possible phenotypes controlled by 5 polygenes in human beings, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Polygenic Inheritance**:
- Polygenic inheritance involves multiple genes (polygenes) contributing to a single trait. In this case, we are dealing with 5 polygenes.

2. **Using the Formula for Phenotypes**:
- The formula to calculate the number of possible phenotypes (P) in polygenic inheritance is given by:
\[ P = 2n + 1 \]
where \( n \) is the number of polygenes.

3. **Substituting the Number of Polygenes**:
- Here, \( n = 5 \) (since the character is controlled by 5 polygenes).
- Substitute \( n \) into the formula:
\[ P = 2(5) + 1 \]

4. **Calculating the Result**:
- Perform the multiplication:
\[ P = 10 + 1 \]
- Thus, we find:
\[ P = 11 \]

5. **Conclusion**:
- Therefore, the possible phenotypes controlled by 5 polygenes in human beings is **11**.

### Final Answer:
The possible phenotypes are **11**.