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The number of different types of gametes...

The number of different types of gametes produced from a plant with genotype Aa Bb Cc is

A

2

B

8

C

4

D

16

Text Solution

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The correct Answer is:
To determine the number of different types of gametes produced from a plant with the genotype Aa Bb Cc, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Genotype**: The genotype given is Aa Bb Cc. This indicates that the plant is heterozygous for three different traits (A, B, and C). 2. **Count the Heterozygous Alleles**: - For A, there are two alleles (A and a) → heterozygous - For B, there are two alleles (B and b) → heterozygous - For C, there are two alleles (C and c) → heterozygous - Total number of heterozygous pairs (n) = 3 (one for each trait). 3. **Use the Formula for Gametes**: The formula to calculate the number of different types of gametes is: \[ \text{Number of Gametes} = 2^n \] where \( n \) is the number of heterozygous pairs. 4. **Calculate the Number of Gametes**: - Substitute \( n = 3 \) into the formula: \[ \text{Number of Gametes} = 2^3 = 8 \] 5. **List the Possible Gametes**: To verify, we can list the combinations of alleles: - Possible combinations: 1. ABC 2. ABc 3. AbC 4. Abc 5. aBC 6. aBc 7. abC 8. abc This confirms that there are indeed 8 different types of gametes. ### Final Answer: The number of different types of gametes produced from a plant with genotype Aa Bb Cc is **8**.
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