Chapter PS, Problem 6.6P

To determine

To find: The number of different teams of $3$ players that can be chosen from $8$ players.

Answer to Problem 6.6P

The number of different teams of $3$ players that can be chosen from $8$ players is $56$ .

Explanation of Solution

Given information:

The total number of players is $8$ .

The number of different teams of $3$ players that can be chosen from $8$ players is calculated as,

  $\begin{array}{c}t=C{}_3\\ =\frac{8!}{3!\left(8-3\right)!}\\ =\frac{8\times 7\times 6\times 5!}{3\times 2\times 1\times 5!}\\ =56\end{array}$

Thus, the number of different teams of $3$ players that can be chosen from $8$ players is $56$ .