Question:
If crosses were made with 8 parents in the diallel mating system (excluding reciprocals), what would be total numbers of F$_1$'s?
If crosses were made with 8 parents in the diallel mating system (excluding reciprocals), what would be total numbers of F$_1$'s?
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Diallel mating design:
- Excluding reciprocals: $\frac{n(n-1)}{2}$.
- Including reciprocals: n(n-1).
- Used to estimate combining ability.
- Excluding reciprocals: $\frac{n(n-1)}{2}$.
- Including reciprocals: n(n-1).
- Used to estimate combining ability.
Updated On: Sep 1, 2026
- 56
- 64
- 32
- 28
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Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Step 1: Understanding the Question:
This question tests knowledge of diallel mating design.
Step 2: Key Formula or Approach:
In a diallel cross (excluding reciprocals), the number of F$_1$ combinations is given by:
\[ \frac{n(n-1)}{2} \] where n is the number of parents.
Step 3: Detailed Explanation:
Given: n = 8 parents.
Number of F$_1$ crosses = $\frac{8 \times 7}{2} = 28$.
Thus, there are 28 F$_1$ combinations.
56 (A): This is for complete diallel including reciprocals.
64 (B): Not correct.
32 (C): Not correct.
Final Answer:
Thus, the total number of F$_1$'s is 28, which corresponds to option (D).
[0.5cm]
This question tests knowledge of diallel mating design.
Step 2: Key Formula or Approach:
In a diallel cross (excluding reciprocals), the number of F$_1$ combinations is given by:
\[ \frac{n(n-1)}{2} \] where n is the number of parents.
Step 3: Detailed Explanation:
Given: n = 8 parents.
Number of F$_1$ crosses = $\frac{8 \times 7}{2} = 28$.
Thus, there are 28 F$_1$ combinations.
56 (A): This is for complete diallel including reciprocals.
64 (B): Not correct.
32 (C): Not correct.
Final Answer:
Thus, the total number of F$_1$'s is 28, which corresponds to option (D).
[0.5cm]
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