How many unique gametes could be produced through independent assortment by an individual with the genotype aabbccddee?

Only one

Explanation:

This is because genotype aabbccddee is homozygous for all loci.

The law of independent assortment is Mendel's fourth postulate which states that alleles of different genes are  independently of one another assorted into gametes during meiosis. So, if we observe two traits, for example pea color (gene A) and pea shape (gene B), the alleles A and a will separate independently of alleles B and b.

So, in the example above, the only possible gamete is abcde.

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