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 determine the number of possible phenotypes controlled by 5 polygenes, we can use the formula for polygenic inheritance, which is:

**Phenotypes = 2n + 1**

where **n** is the number of polygenes.

### Step-by-step Solution:

1. **Identify the number of polygenes (n)**:
- In this case, we are given that there are 5 polygenes controlling the character. Therefore, n = 5.

2. **Apply the formula for phenotypes**:
- We use the formula:
\[ \text{Phenotypes} = 2n + 1 \]
- Substituting the value of n:
\[ \text{Phenotypes} = 2(5) + 1 \]

3. **Calculate the result**:
- First, calculate \(2 \times 5\):
\[ 2 \times 5 = 10 \]
- Now, add 1 to the result:
\[ 10 + 1 = 11 \]

4. **Conclusion**:
- Therefore, the number of different phenotypes that can be produced by 5 polygenes is **11**.

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