Find out the number of phenotypes in `F_(2)` generation if a character is controlled by 3 pair of polygenes

Options

A. 4
B. 7
C. 8
D. 16

Answer

To find the number of phenotypes in the F2 generation when a character is controlled by 3 pairs of polygenes, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Polygenes**:
Polygenic inheritance involves multiple genes (polygenes) contributing to a single trait. Each pair of alleles can contribute to the phenotype.

2. **Identify the Number of Pairs of Polygenes**:
In this case, the character is controlled by 3 pairs of polygenes. This means \( n = 3 \).

3. **Use the Formula for Number of Phenotypes**:
The formula to calculate the number of phenotypes is:
\[ \text{Number of Phenotypes} = 2n + 1 \]
where \( n \) is the number of pairs of polygenes.

4. **Substitute the Value of n into the Formula**:
Substitute \( n = 3 \) into the formula:
\[ \text{Number of Phenotypes} = 2(3) + 1 \]

5. **Calculate the Result**:
Perform the calculation:
\[ 2(3) = 6 \]
Adding 1 gives:
\[ 6 + 1 = 7 \]

6. **Conclusion**:
Therefore, the number of phenotypes in the F2 generation is **7**.

### Final Answer:
The number of phenotypes in the F2 generation is **7**.

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