Subtopic: Fundamentals of Biomolecules, enzyme kinetics
Question Statement:
Assuming independent assortment and no recombination, the number of different
combinations of maternal and paternal chromosomes in gametes of an organism
with a diploid number of 12 is _________________.
Official Answer Key:
64 to 64
Step-by-Step Solution & Explanation
### **Step-by-Step Solution & Mathematical Derivation (GATE BT 2022 Q.27)**
**1. Governing Concept & Definition**:
- **Topic**: Classical Genetics & Chromosomal Independent Assortment
- For an organism with diploid chromosome number $2n$, homologous pairs assort independently into gametes.
- The number of distinct combinations of maternal and paternal chromosomes in gametes is:
$N = 2^n$
where $n$ is the haploid chromosome number.
**2. Detailed Step-by-Step Calculation**:
- **Given**:
- Diploid organism with $2n = 12$ chromosomes $\implies n = 6$ chromosome pairs.
- **Number of distinct maternal/paternal chromosome combinations**:
$N = 2^6 = 64$
**3. Final Answer**:
- **Calculated Value**: **64**
- **Official GATE Accepted Range**: **64 to 64**
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