The scenario that could potentially result in new combinations of DNA in the offspring of an individual is when sister chromatids cross over during meiosis in a heart cell. During meiosis, the homologous chromosomes line up and exchange segments of DNA through a process called crossing over. This exchange of genetic material results in new combinations of genes in the offspring's DNA. In this scenario, as the sister chromatids cross over, new combinations of genetic information are created, which can be inherited by the offspring.
