This document discusses genetic variation and different mating systems used in livestock production. It begins by explaining that most economically important traits are controlled by multiple gene pairs and are quantitatively measured, showing continuous variation. Different mating systems like inbreeding, linebreeding, outcrossing and crossbreeding are then described. Inbreeding can both increase homozygosity but also reveal desirable and undesirable genes, while outbreeding takes advantage of heterosis and breed complementarity. Various crossbreeding systems like two-breed and terminal rotations are outlined. The role of selection, EPDs, and forming new composite breeds is also summarized.