SOLUTION: In a sports league of n teams in which each team plays every other team twice, the total number N of games to be played is given by the equation shown below. Show all your work ple

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: In a sports league of n teams in which each team plays every other team twice, the total number N of games to be played is given by the equation shown below. Show all your work ple      Log On


   

Question 1044386: In a sports league of n teams in which each team plays every other team twice, the total number N of games to be played is given by the equation shown below. Show all your work please.


N=n^2-n

What is the total number of games to be played in a football league having 21 teams?
Found 2 solutions by jorel555, MathLover1:
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
If there are 21 teams, then:
N=21²-21=20x21=420 games. ☺☺☺☺

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

N=n%5E2-n

What is the total number of games to be played in a football league having n=21 teams?
N=21%5E2-21
N=441-21
N=420.......the total number of games