A review of the basic principles of the population synthesis for binary stars
is presented. We discuss the break-up of low and intermediate mass close
binaries over different evolutionary scenarios and, as an example, briefly
consider results of the population synthesis for SN Ia.Comment: 10 pages, 4 figures, to appear in INTERACTING BINARIES: Accretion,
Evolution and Outcomes, AIP, Eds: L. A. Antonelli, L. Burderi, F. D'Antona,
T. Di Salvo, G.L. Israel, L. Piersanti, O. Straniero, A. Tornambe