A X-linked gene has 15 alleles then what will be possible genotypes in population

Options

A. 120
B. 110
C. 100
D. None

Answer

To determine the possible genotypes for an X-linked gene with 15 alleles, we can follow these steps:

### Step 1: Understand the Concept of Multiple Alleles
In genetics, multiple alleles refer to the presence of more than two alleles for a single gene within a population. For an X-linked gene, males have one X chromosome (and thus one allele), while females have two X chromosomes (and thus can have two alleles).

### Step 2: Use the Formula for Possible Genotypes
The formula to calculate the number of possible genotypes when there are multiple alleles is given by:
\[ \text{Possible Genotypes} = \frac{n(n + 1)}{2} \]
where \( n \) is the number of alleles.

### Step 3: Substitute the Value of n
In this case, \( n = 15 \) (the number of alleles). We can substitute this value into the formula:
\[ \text{Possible Genotypes} = \frac{15(15 + 1)}{2} \]

### Step 4: Calculate the Expression
Now, we will calculate the expression step by step:
1. Calculate \( 15 + 1 = 16 \)
2. Multiply \( 15 \times 16 = 240 \)
3. Divide by 2: \( \frac{240}{2} = 120 \)

### Step 5: Conclusion
Thus, the total number of possible genotypes for this X-linked gene with 15 alleles is **120**.

### Final Answer
The possible genotypes in the population will be **120**.

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