The number of basketball games that must be scheduled in a league with n teams is given by G(n) = (n2 - n)/2 where each team plays every other team exactly once. A league schedules 21 games. How many teams are in the league?

There are 7 teams in the league

Step-by-step explanation:

Given that the number of games is given by:

The equation will be used to determine the number of games. As we already know, that 21 games are scheduled which means G(n) is 21 so we have to find n when G(n) is 21

Putting this mathematically

Multiplying equation by 2

As the number of teams cannot be negative, the number of teams in league are 7.

Hence,

There are 7 teams in the league

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