How many type of gametes are produced by a plant having genotypes AaBbCcDd, AABBCCDD, aaBbCcDd and aabbccDd respectively ?

Options

A. 16,2,8,2
B. 16,1,8,1
C. 16,1,8,2
D. 16,8,1,2

Answer

To determine the number of types of gametes produced by plants with the given genotypes, we will use the formula for calculating the number of gametes, which is:

\[ \text{Number of gametes} = 2^n \]

where \( n \) is the number of heterozygous pairs of alleles in the genotype.

### Step-by-Step Solution:

1. **Identify Heterozygous Pairs for Each Genotype:**
- **Genotype: AaBbCcDd**
- Heterozygous pairs: Aa, Bb, Cc, Dd (4 pairs)
- **Genotype: AABBCCDD**
- Heterozygous pairs: None (0 pairs)
- **Genotype: aaBbCcDd**
- Heterozygous pairs: Bb, Cc, Dd (3 pairs)
- **Genotype: aabbccDd**
- Heterozygous pairs: Dd (1 pair)

2. **Calculate the Number of Gametes for Each Genotype:**
- For **AaBbCcDd**:
- \( n = 4 \)
- Number of gametes = \( 2^4 = 16 \)
- For **AABBCCDD**:
- \( n = 0 \)
- Number of gametes = \( 2^0 = 1 \)
- For **aaBbCcDd**:
- \( n = 3 \)
- Number of gametes = \( 2^3 = 8 \)
- For **aabbccDd**:
- \( n = 1 \)
- Number of gametes = \( 2^1 = 2 \)

3. **Summarize the Results:**
- **AaBbCcDd** produces **16** types of gametes.
- **AABBCCDD** produces **1** type of gamete.
- **aaBbCcDd** produces **8** types of gametes.
- **aabbccDd** produces **2** types of gametes.

### Final Answer:
The number of types of gametes produced by the respective genotypes are:
- AaBbCcDd: 16
- AABBCCDD: 1
- aaBbCcDd: 8
- aabbccDd: 2