Number of genotypes for a given number of alleles Given n alleles at a locus, the number genotypes possible is the sum of the integers between 1 and n: With 2 alleles, the number of genotypes is 1 + 2 = 3. 3 alleles there are 1 + 2 + 3 = 6 genotypes. 4 alleles there are 1 + 2 + 3 + 4 = 10 genotypes.