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.

Solution

Strength of a team = 6 players.

On selecting 2 teams, they can swap their parts of court in 1 more way. So total 2 ways of playing with the same team structures.

No. of ways of forming 2 teams = 12C6 (to select 1st team) * 6C6 (to select remaining team)

Total number of ways = 2*12C6 * 6C6 = 1848