@XMillyX Ollivander was pretty strict about only making wands with his three cores, but other wand makers used many different cores. The elder wand I believe has a Thestral hair core.
@Andrade93 On the topic of Ollivander, he really only likes making wands a certain way, and we know that wands not made by him do use different cores and different woods, and as Jimbob mentioned it never is specifically said whether or not a wand can possess two cores, so perhaps in different countries they might have hybridized cores.