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A self-fertilizing trihybrid plant forms...

A self-fertilizing trihybrid plant forms

A

4 different gametes and 16 different zygotes

B

8 different gametes and 16 different zygotes

C

8 different gametes and 32 different zygotes

D

8 different gametes and 64 different zygotes

Text Solution

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The correct Answer is:
To solve the question regarding a self-fertilizing trihybrid plant and the number of different gametes and zygotes it can form, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the term "trihybrid":** - A trihybrid plant means it is heterozygous for three different traits. Each trait can have two alleles (dominant and recessive). 2. **Determining the number of traits (n):** - For a trihybrid, n = 3 (since there are three traits). 3. **Calculating the number of different gametes:** - The formula to calculate the number of different gametes is \(2^n\). - Substituting the value of n: \[ 2^3 = 8 \] - Therefore, the plant can produce 8 different gametes. 4. **Calculating the number of different zygotes:** - The number of different zygotes can be determined using the formula \(n^2\) for a trihybrid cross, where n is the number of different gametes. - Since we have 8 different gametes, the number of zygotes is: \[ 8 \times 8 = 64 \] - Thus, the plant can form 64 different zygotes. 5. **Final Answer:** - The correct option is: **8 different gametes and 64 different zygotes.** ### Summary: - A self-fertilizing trihybrid plant forms **8 different gametes** and **64 different zygotes**.
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