The genome of a diploid species has 10 genes. In a population of this species, if each gene has two unique alleles, then the number of possible unique genotypes in this population is ______ (Answer in integer)
Genotype Calculation for Diploid Species
This problem involves calculating the total number of unique genotypes possible in a population given specific genetic parameters.
Understanding Genotypes
- Diploid Species: Organisms have two sets of chromosomes, meaning they possess two alleles for each gene.
- Gene: A segment of DNA that codes for a specific trait.
- Allele: A variant form of a gene. In this case, each gene has 2 unique alleles.
- Genotype: The specific combination of alleles an organism possesses for a particular gene (e.g., AA, AB, BB).
Calculating Genotypes per Gene
For a single gene with 2 unique alleles (let's call them A and B), a diploid organism can have the following genotypes:
- Homozygous: AA or BB (two identical alleles)
- Heterozygous: AB (two different alleles)
Therefore, there are 3 possible unique genotypes for each gene.
Alternatively, using the formula for combinations with repetition for 'k' alleles in a diploid organism, the number of genotypes is $ \frac{k(k+1)}{2} $. Here, $ k=2 $, so the number of genotypes is $ \frac{2(2+1)}{2} = \frac{2 \times 3}{2} = 3 $.
Total Genotype Calculation
The population has 10 independent genes, and each gene has 3 possible genotypes.
To find the total number of unique genotypes for the entire genome, we multiply the number of possibilities for each gene:
Total Genotypes = (Genotypes per gene)$^{\text{Number of genes}}$
Total Genotypes = $ 3^{10} $
Calculation:
$ 3^{10} = 59049 $Thus, the number of possible unique genotypes in this population is 59049.
Important Questions from Genotype frequencies
- A cross between a pure-bred plant with red flowers and a pure-bred plant with white flowers produced F1 generation with pink flowers. If the plants with pink flowers are selfed, what is the proportion of white : pink : red flowers expected in the next generation?
- The genome of an organism has 60% GC (Guanine-Cytosine) content. The Adenine in this genome is __________ %. (Answer in integer)
