Solve the problem.
-In a sports league of $\mathrm{n}$ teams in which each team plays every other team twice, the total number $\mathrm{N}$ of games to be played is given by $\mathrm{N}=\mathrm{n}^{2}-\mathrm{n}$. How many teams are in a softball league if the total number of games played is 110 ?
A) 10
B) 11
C) 9
D) 12

Question

Quizplus · Accepted Answer

Given the formula $N = n^2 - n$ and $N = 110$, we solve for $n$: $110 = n^2 - n$. Rearranging, we get $n^2 - n - 110 = 0$. Factoring, we find $n = 11$ as the positive solution that fits the context of the problem.

Solve the Problem n\mathrm{n}n Teams in Which Each Team Plays Every Other Team Twice

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