A group of 6 girls and 6 boys wants to play volleyball They

A group of 6 girls and 6 boys wants to play volleyball. They have to set up the teams. At first, they decide that the number of boys or girls in a team is not important.

Under the assumption that the part of the court that a team will occupy is relevant, find the number of different teams they can set up. Total number of ways = 1848

Find the number of different teams they can set up provided that the part of the court that a team will occupy is irrelevant. Total possibility is 1848

They then decide to set up teams made of 3 girls and 3 boys each. Again, the part of the court that a team will occupy is irrelevant.

Find the number of different possibilities in which the girls can they distribute themselves. Total possibility is 800

Find the number of different teams that can be set up.

Solution