Final answer:
A male fruit fly with genotype Aa Pp YY rr Tt can form 8 different types of gametes, calculated by multiplying the allele possibilities for each heterozygous gene while homozygous genes contribute a single possibility.
Step-by-step explanation:
A male fruit fly has the genotype Aa Pp YY rr Tt . To determine how many different types of gametes he can form, we need to consider each gene separately. The alleles for each gene that are heterozygous have two possibilities (e.g., A or a), while the homozygous alleles have only one possible allele that can be passed on (e.g., Y or r).
For genes A and P, with genotypes Aa and Pp respectively, each can produce two types of alleles. Since gene Y is YY, it can produce only one type of allele (Y), the same with gene r which is rr, giving a single allele type (r). Lastly, gene T is Tt and produces two types of alleles.
Using the rule of multiplication for independent events, the number of different gametes is calculated by multiplying the number of possibilities for each gene. So, we have 2 (for Aa) x 2 (for Pp) x 1 (for YY) x 1 (for rr) x 2 (for Tt), which equals to 8 different types of gametes .