Yes football is a olympic sport , for both men and women.
yes both men's and women's
Table tennis competition has been in the Summer Olympic Games since 1988. They now have both singles and doubles events for men and women.
Both men's and women's events have been held since the 1992 Winter Games in Albertville. TAG!! from bob
Yes both men and women take part
Mountain Biking (cross country) became an Olympic event in 1996 for both men and women.
5 (contested by both men and women)
Show jumping is, AFAIK, the only event where men and women compete on equal term. There are also some mixed events; for example, badmington and table tennis.
Gymnastics is a sport that both men and women do. This is a very tough sport where gymnasts train hard usually to become an olympic champion or they use this sport to get in shape. If you are a young person this would be a great sport for you.
The USA won both the Men and Women's events
8. Men and women both perform in springboard, platform, synchronized springboard, and synchronized platform.