Here's why:

* DNA Replication: During mitosis, the cell's DNA is completely copied before the cell divides. This ensures that each daughter cell receives an exact copy of the parent cell's genetic material.

* Equal Distribution: The duplicated chromosomes are then carefully separated and distributed to the two daughter cells. This ensures that both daughter cells have the same set of genes.

In contrast, meiosis, the process of cell division that produces gametes (sperm and egg), does result in cells that are different from one another. This is because of the process of crossing over and independent assortment, which shuffle the genes and create new combinations.