Final answer:
The genotype DdEeff can give rise to four different types of gametes because it has two heterozygous gene pairs (Dd and Ee) and one homozygous pair (ff). These pairs independently assort to create gametes DeF, Def, dEF, and def. The correct option is 1) 4.
Step-by-step explanation:
The question is asking how many different types of gametes can be produced by an organism with a certain genotype if the genes are assorted independently.
The genotype in question is DdEeff. Since the Dd and Ee loci are heterozygous, they can produce two different types of alleles during gamete formation, either D or d, and either E or e, respectively. The ff locus is homozygous and will only produce one type of allele, f. To find the number of different types of gametes, you multiply the number of allele possibilities for each gene.
In this case, it would be 2 (for Dd) times 2 (for Ee) times 1 (for ff), which equals 4. Therefore, the genotype DdEeff can produce four different types of gametes, which are DeF, Def, dEF, and def. The correct option is 1) 4.