Final answer:
Statement A is true, as an individual with the genotype AaBbCCddEeFFgg can indeed produce 8 different gametes. Statement B is false, because the cross between two AaBbCc parents would generate different phenotype possibilities, but not as high as 27, because dominant alleles mask the effects of recessive ones.
Step-by-step explanation:
We are looking at Mendelian inheritance and determining the truthfulness of two statements given simple Mendelian inheritance with regards to dominance and genes on different chromosomes.
Statement A: An individual with the genotype AaBbCCddEeFFgg produces 8 different gametes. This is true. The individual can produce gametes with the following combinations: ABCdEFg, ABcdEFg, AbCdEFg, AbcdEFg, aBCdEFg, aBcdEFg, abCdEFg, abcdEFg.
Statement B: A cross between two AaBbCc parents yields 27 different phenotypes. This is false. Two AaBbCc parents can produce 64 different genotypes (8 from each parent, and 8x8 in total). Phenotypes, however, are not solely based on the genotypes but also on the dominance of alleles.