Question

Baseball In how many ways can$2$teams from$14$teams in the American League be chosen without regard to which team is at home ?

Short answer

The ways are$182.$

Step-by-step solution

Step 1. Given information.

The number of teams that is$14$is given.

Step 2. Calculation.

It can be calculated by -

$$\begin{gathered} C\left(14,2\right)=\frac{14!}{\left(14-2\right)!} \\ =\frac{14!}{12!} \\ =\frac{14\times 13\times 12!}{12!} \\ =14\times 13 \\ =182 \end{gathered}$$