The Summer Olympic Games 2000 were held at:

Sydney

The correct answer is Option (4) - Sydney

The Summer Olympic Games in 2000, also known as the Millennium Olympic Games, were held in Sydney, Australia. The city of Sydney hosted the event from September 15 to October 1, 2000. These Olympics marked the second time that Australia had hosted the Summer Olympics, with the first being the Melbourne Olympics in 1956.

The Sydney Olympics were notable for several reasons. They featured a record number of athletes and participating countries at the time, with over 10,000 athletes from 199 countries competing in 28 sports and 300 events. The opening ceremony of the Sydney Olympics was particularly memorable, featuring iconic moments such as Cathy Freeman, an Australian sprinter, lighting the Olympic cauldron.

During the games, athletes from around the world showcased their talents and competed for gold, silver, and bronze medals. The Sydney Olympics also witnessed some remarkable performances and achievements, including American swimmer Michael Phelps' Olympic debut at the age of 15 and the dominance of athletes like Marion Jones and Ian Thorpe in their respective sports.

Overall, the 2000 Summer Olympics in Sydney were considered a great success, with Australia receiving praise for its organization and hospitality. The event left a lasting legacy for Sydney, with improved infrastructure and facilities, as well as a sense of pride and accomplishment for the host nation.