Final answer:
The roundworm species with a diploid number of 4 can produce 16 different possible combinations of chromosomes in the offspring via random segregation of chromosomes during meiosis.
Step-by-step explanation:
The calculation of possible combinations of chromosomes in offspring of a roundworm species with a diploid number of 4 involves understanding the process of random assortment during meiosis. Without crossover, the variability in offspring comes solely from this random segregation. For a species with a diploid number of 4, we consider 2 possible orientations for each of the 2 chromosome pairs, leading to total possibilities as 2n, where n equals the number of haploid chromosomes. Therefore, with n = 2, there are 22 or 4 possible combinations for each pair of homologous chromosomes, resulting in 24 or 16 different possible combinations of chromosomes in the offspring.