On the TV show Survivor, there are currently two tribes. The Utuu tribe consists of 3 men and 7 women. The Nali tribe consists of 6 men and 4 women. Today the two tribes are competing in a challenge that requires them to have an equal number of men and women competing. So the Utuu tribe must choose 3 women to sit out of the challenge and the Nali tribe must choose 3 women to sit out of the challenge. Show how to use the Labeling Principle to determine the number of ways the 6 people sitting out of the challenge can be chosen.
