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How many different phenotypes are possible in a one gene/three allele system that displays codominance to each other?

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Six phenotypes are possible in a one gene/three allele system that displays codominance to each other with three alleles, a1, a2, a3.

3 homozygous and 3 heterozygous combinations. Each unique combination of two alleles results in a distinct phenotype. Possible combinations are: 
a1/a1 
a1/a2 
a1/a3 
a2/a2 
a2/a3 
a3/a3

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