They call themselves the "Individual Olympic (and Paralympic) Athletes".
the very first aboriginal australian to compete in the olympics was cathy freeman. She became the Olympic champion for the women's 400 metres in Sydney 2000.
10,651 athletes (6,582 men, 4,069 women) from 199 nations competed in the 2000 Games in Sydney.
yes, women have been allowed to compete since 2000
Trampolining made its first appearance as an Olympic gymnastics event in the year 2000 with competitions for both men and women. In Olympic trampolining, athletes take turns performing various moves and mid-air flips in four different events: individual, synchronized, double minitrampoline, and tumbling.
Australia sent a team of 434 athletes to the 2008 Beijing Olympic Games. It was the largest team Australia had ever sent, apart from the Home Games in Sydneyin 2000, in which 632 athletes competed.