Solve the problem.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.
Use inductive reasoning to find a formula for the number of games played in a round robin tournament involving n teams.
A. 6 teams: 16 games
7 teams: 20 games
n teams : 4(n - 2) games
B. 6 teams: 21 games
7 teams: 28 games
n teams : n(n + 1)/2 games
C. 6 teams: 15 games
7 teams: 21 games
n teams : n(n - 1)/2 games
D. 6 teams: 14 games
7 teams: 18 games
n teams : 4n - 10 games
Answer: C
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