There are five alleles of a particular gene in a population. The total number of different genotypes (for this allele) in the population will be

Options

A. 5
B. 15
C. 25
D. 30

Answer

To find the total number of different genotypes in a population with five alleles of a particular gene, we can use the formula for calculating the number of genotypes from the number of alleles.

### Step-by-Step Solution:

1. **Understanding Alleles and Genotypes**:
- A genotype is the genetic constitution of an individual, which can consist of different combinations of alleles.
- If there are 'n' alleles for a gene, the possible genotypes can be formed by combining these alleles.

2. **Formula for Genotypes**:
- The formula to calculate the total number of different genotypes (G) from 'n' alleles is given by:
\[ G = \frac{n(n + 1)}{2} \]
- This formula accounts for both homozygous (where both alleles are the same) and heterozygous (where the alleles are different) combinations.

3. **Applying the Formula**:
- In this case, we have 5 alleles (n = 5).
- Plugging the value into the formula:
\[ G = \frac{5(5 + 1)}{2} = \frac{5 \times 6}{2} = \frac{30}{2} = 15 \]

4. **Conclusion**:
- Therefore, the total number of different genotypes for this allele in the population is **15**.