Find the Number of Games Played in a Round Robin

question 69

Essay

Find the number of games played in a round robin tournament for the given numbers of teams. In a round robin tournament every team plays every other team once. $$\begin{array} { r | r } \text { Number of teams } & \text { Number of games played } \\\hline 3 \text { teams } & 3 \text { games } \\4 \text { teams } & 6 \text { games } \\5 \text { teams } & 10 \text { games } \\6 \text { teams } & - \text { games } \\7 \text { teams } & \text { - games }\end{array}$$
Look for a pattern. Find the number of games played in a round robin tournament involving n teams. Find the number of games played in a round robin tournament involving 19 teams.

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Definitions:

Self-Help Groups

Peer-led organizations where members share their experiences and support each other in solving common problems.

Alcoholics Anonymous

A self-help group aimed at aiding individuals to recover from alcoholism through shared experiences and mutual support.

Trained Therapist

A professional who has received specialized education and training in providing psychological counseling and therapy.

Deinstitutionalization

The process of releasing individuals from institutional care (such as psychiatric hospitals) to community-based treatments.