81 genotypes in a hybrid selfing will produces how many phenotypes ?

Options

A. 81
B. 16
C. 8
D. 32

Answer

To solve the question of how many phenotypes will be produced from 81 genotypes in a hybrid selfing, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Relationship Between Genotypes and Phenotypes**:
- In genetics, the number of genotypes (the genetic constitution) and phenotypes (the observable traits) can be calculated using specific formulas.
- The formula for the number of genotypes is \(3^n\), where \(n\) is the number of heterozygous loci.
- The formula for the number of phenotypes is \(2^n\).

2. **Identifying the Number of Genotypes**:
- The question states that there are 81 genotypes.
- We can set up the equation:
\[ 3^n = 81 \]

3. **Solving for \(n\)**:
- We know that \(81\) can be expressed as \(3^4\). Therefore, we can conclude:
\[ n = 4 \]

4. **Calculating the Number of Phenotypes**:
- Now that we have \(n = 4\), we can use the formula for phenotypes:
\[ 2^n = 2^4 \]
- Calculating \(2^4\):
\[ 2^4 = 16 \]

5. **Conclusion**:
- Therefore, the number of phenotypes produced from 81 genotypes in a hybrid selfing is \(16\).

### Final Answer:
The number of phenotypes produced is **16**.

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