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  4. There are five alleles of a particular gene in a population. The total number of different genotypes (for this allele) in the population will be

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Q. There are five alleles of a particular gene in a population. The total number of different genotypes (for this allele) in the population will be

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Solution:

Consider the five alleles in the population to be A1, A2, A3, A4 and A5. An individual can have only two alleles at a time. So the various genotypes will be A1A1, A1A2, A1A3, A1A4, A1A5, A2A2, A2A3, A2A4, A2A5, A3A3, A3A4, A3A5, A4A4, A4A5, A5A5 (total 15). The general formula for types of genotypes is $\left[n \left(n + 1\right)\right] / 2,$ where n is the number of alleles in the population.