How many gametes are produced in `F_(1)` generation of a trihybrid :-

Options

A. 3
B. 4
C. 8
D. 16

Answer

To determine how many gametes are produced in the F1 generation of a trihybrid cross, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Trihybrid Cross**: A trihybrid cross involves three different traits. In this case, we can denote them as A, B, and C. The parental generation consists of one organism with the genotype AABBCC and another with the genotype aabbcc.

2. **Identify the Contrasting Alleles**: Each trait has two contrasting alleles: one dominant and one recessive. For our example:
- Trait A has alleles A (dominant) and a (recessive)
- Trait B has alleles B (dominant) and b (recessive)
- Trait C has alleles C (dominant) and c (recessive)

3. **Count the Number of Contrasting Pairs**: In this case, we have three traits (A, B, and C), which means we have three contrasting pairs of alleles.

4. **Use the Formula for Gamete Production**: The number of different gametes produced can be calculated using the formula \(2^n\), where \(n\) is the number of contrasting pairs of alleles. Here, \(n = 3\).

5. **Calculate the Number of Gametes**:
\[ \text{Number of Gametes} = 2^n = 2^3 = 8 \]

6. **Conclusion**: Therefore, the F1 generation of a trihybrid cross produces a total of 8 different gametes.

### Final Answer:
The number of gametes produced in the F1 generation of a trihybrid cross is **8**.

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