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 that can be formed from five alleles of a particular gene, we can use a specific formula. Here’s a step-by-step solution:

### Step 1: Understand the Problem
We have five different alleles of a gene. We need to determine how many different genotypes can be formed from these alleles.

### Step 2: Use the Formula for Genotypes
The total number of different genotypes (G) that can be formed from n alleles is given by the formula:
\[ G = \frac{n(n + 1)}{2} \]
This formula calculates the sum of the first n integers, which represents all possible combinations of alleles.

### Step 3: Substitute the Value of n
In this case, we have n = 5 (since there are five alleles). We will substitute this value into the formula:
\[ G = \frac{5(5 + 1)}{2} \]

### Step 4: Calculate the Value
Now, we will perform the calculations:
1. Calculate \( 5 + 1 = 6 \)
2. Multiply \( 5 \times 6 = 30 \)
3. Divide by 2: \( \frac{30}{2} = 15 \)

### Step 5: Conclusion
Thus, the total number of different genotypes that can be formed from five alleles is **15**.

### Final Answer
The total number of different genotypes in the population is **15**.

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