How many different types of gametes with an individual of genotype aabbccddeeff make, assuming that the genes all assort independently?

16 types of gametes

Explanation:

AaBBCCDdEeFf genotype has 6 pairs of genes. Gene B and C are in homozygous condition i.e. both the alleles are same so they will only provide one allele per pair. Rest 4 genes i.e. A, D, E and F are in heterozygous condition and will give 2 alleles per pair.

So the number of gametes = 2∧n where n is number of heterezygous pairs.

Here n=4 so 2^4= 16 types of gametes