The correct example that would likely result in new combinations of DNA in an individual's offspring is:
Homologous chromosomes failing to separate during meiosis.
This failure (also known as nondisjunction) can lead to gametes with an abnormal number of chromosomes, which can result in genetic variation in the offspring if such gametes participate in fertilization. The other examples involve mutations in somatic (non-reproductive) cells or mitotic processes that do not contribute to the genetic makeup of offspring.