Which of the following give the correct representation of Hardy-Weinberg equation?

Options

A. `p+q+2pq=1`
B. `(p+q)^2=1`
C. `p^2+2pq+q^2=1`
D. Both(2) and (3)

Answer

To solve the question regarding the correct representation of the Hardy-Weinberg equation, we will follow these steps:

### Step 1: Understand the Hardy-Weinberg Principle
The Hardy-Weinberg principle states that allele and genotype frequencies in a population will remain constant from generation to generation in the absence of other evolutionary influences. This principle is foundational in population genetics.

### Step 2: Identify the Hardy-Weinberg Equations
The Hardy-Weinberg principle is represented by two main equations:
1. **p + q = 1**: This equation represents the frequency of alleles in a population, where:
- **p** = frequency of the dominant allele
- **q** = frequency of the recessive allele

2. **p² + 2pq + q² = 1**: This equation represents the frequencies of the genotypes in the population, where:
- **p²** = frequency of homozygous dominant individuals
- **2pq** = frequency of heterozygous individuals
- **q²** = frequency of homozygous recessive individuals

### Step 3: Analyze the Options
Given the options:
- Option 1: Incorrect representation
- Option 2: Correct representation (p + q = 1)
- Option 3: Correct representation (p² + 2pq + q² = 1)
- Option 4: States that both options 2 and 3 are correct

### Step 4: Conclusion
Based on the analysis, options 2 and 3 are indeed correct representations of the Hardy-Weinberg equations. Therefore, option 4, which states that both options 2 and 3 are correct, is the correct answer.

### Final Answer
The correct representation of the Hardy-Weinberg equation is given by option 4: "2 and 3 both".

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