How many gametes are produced by a plant with genotype AABbCcDd ?

Options

A. 4
B. 8
C. 16
D. 32

Answer

To determine how many gametes are produced by a plant with the genotype AABbCcDd, we can follow these steps:

### Step 1: Identify the Genotype
The given genotype is AABbCcDd. Here, we need to identify which alleles are homozygous and which are heterozygous.

- **AABbCcDd**
- A is homozygous (AA)
- B is heterozygous (Bb)
- C is heterozygous (Cc)
- D is heterozygous (Dd)

### Step 2: Count Heterozygous Alleles
Next, we count the number of heterozygous traits (n):
- B (Bb) - 1 heterozygous
- C (Cc) - 1 heterozygous
- D (Dd) - 1 heterozygous

Total heterozygous traits (n) = 3.

### Step 3: Use the Formula for Gamete Production
The formula to calculate the number of gametes produced is:
\[ \text{Number of gametes} = 2^n \]
Where n is the number of heterozygous traits.

### Step 4: Calculate the Number of Gametes
Substituting the value of n into the formula:
\[ \text{Number of gametes} = 2^3 = 8 \]

### Conclusion
Therefore, the number of gametes produced by the plant with the genotype AABbCcDd is **8**.

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