How many types of gametes are formed in an individual with the AaBBCcDdffEe genotype?

The number of gametes depends on the number of heterozygous alleles in the parent (0-1; 1-2; 2-4; 3-8).
In the AaBBCcDdffEe genotype, there are four heterozygotes from the alleles, which means there will be 16 species of gametes.

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