# SOLUTION: A basketball league has 90 games in a season. How many teams are there if each team plays every team twice?

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 Click here to see ALL problems on Human-and-algebraic-language Question 59959: A basketball league has 90 games in a season. How many teams are there if each team plays every team twice?Answer by venugopalramana(3286)   (Show Source): You can put this solution on YOUR website!A basketball league has 90 games in a season. How many teams are there if each team plays every team twice? LET THE NUMBER OF TEAMS =N NUMBER OF MATHCHES IN 1 ROUND = NC2=N(N-1)/2 NUMBER OF MATCHES IN 2 ROUNDS = 2N(N-1)/2 = 90 N^2-N-90=0 N^2-10N+9N-90=0 N(N-10)+9(N-10)=0 (N-10)(N+9)=0 N=10