A diploid organism is heterozygous for five loci and homozygous for 2 loci ,how many types of gametes can be prodeced ?

Options

A. 128
B. 32
C. 4
D. 14

Answer

To determine the number of different types of gametes that can be produced by a diploid organism that is heterozygous for five loci and homozygous for two loci, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Terms**:
- A **diploid organism** has two sets of chromosomes (2n).
- **Heterozygous** means having two different alleles at a locus (e.g., Aa).
- **Homozygous** means having two identical alleles at a locus (e.g., AA or aa).

2. **Identify the Loci**:
- The organism is heterozygous for 5 loci. This means for each of these loci, it can produce two types of alleles.
- The organism is homozygous for 2 loci. For these loci, it can only produce one type of allele since both alleles are the same.

3. **Calculate Gametes from Heterozygous Loci**:
- For each heterozygous locus, there are 2 possible alleles that can be contributed to the gamete.
- Since there are 5 heterozygous loci, the total number of combinations of alleles from these loci can be calculated using the formula:
\[ \text{Number of gametes} = 2^n \]
where \( n \) is the number of heterozygous loci.

4. **Substituting the Values**:
- Here, \( n = 5 \) (the number of heterozygous loci).
- Thus, the number of different types of gametes is:
\[ 2^5 = 32 \]

5. **Consider the Homozygous Loci**:
- The two homozygous loci do not contribute to the variety of gametes since they produce only one type of allele each. Therefore, they do not change the number of gametes produced.

6. **Final Answer**:
- The total number of different types of gametes produced by the organism is **32**.

### Summary:
The diploid organism, being heterozygous for 5 loci and homozygous for 2 loci, can produce **32 different types of gametes**.

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