the number of volleyball games that must be scheduled in a league with n terms is given by g(n) =n^2-2/2 where each team plays with every other team exactly once , a league schedules 15 games , how many terms are in the league ?
Answers
Answer:
Number of games = 15 G(n) = (n2 - n)/2 By the given condition (n2 - n)/2 = 15 n2 – n = 30 ⇒ n2 – n – 30 = 0 (n – 6) (n + 5) = 0 n – 6 = 0 or n + 5 = 0 [Note: – 5 is neglected because number of team is not negative] n = 6 or n = -5 ∴ Number of teams = 6Read more on Sarthaks.com - https://www.sarthaks.com/940094/number-volleyball-games-that-must-scheduled-league-with-teams-given-where-each-team-plays
Step-by-step explanation:
Number of games = 15 G(n) = (n2 - n)/2 By the given condition (n2 - n)/2 = 15 n2 – n = 30 ⇒ n2 – n – 30 = 0 (n – 6) (n + 5) = 0 n – 6 = 0 or n + 5 = 0 [Note: – 5 is neglected because number of team is not negative] n = 6 or n = -5 ∴ Number of teams = 6Read more on Sarthaks.com - https://www.sarthaks.com/940094/number-volleyball-games-that-must-scheduled-league-with-teams-given-where-each-team-plays
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