Final answer:
An individual with the genotype AABbccDDeeFFgg will produce 8 different types of gametes.
Step-by-step explanation:
An individual with the genotype AABbccDDeeFFgg will produce 8 different types of gametes.
Each gene in the genotype can have two possible alleles, and during gamete formation, the homologous chromosomes separate, resulting in the separation of alleles. Therefore, the number of possible gametes is determined by multiplying the number of possible alleles for each gene.
In this case, there are 2 possible alleles for genes A, B, D, E, and F, and 1 allele for gene C and gene G, totaling 2x2x2x2x2x1x1 = 32 possible combinations. However, since each individual has two copies of each chromosome, we divide the number of combinations by 2, resulting in 8 different types of gametes.