Chapter 0, Problem 26PO

To determine

whether each situation involves a permutation or a combination and then find the number of possibilities.

Answer to Problem 26PO

The numbers of ways are 28.

Explanation of Solution

Given information :

Event is given as selecting 2 of 8 employees to attend a business seminar.

In the given event, arrangement does not matter so it is a combination.

The number of ways is given by,

  $\begin{array}{c}C{}_2=\frac{8!}{6!2!}\\ =\frac{8\times 7\times 6!}{2\times 1\times 6!}\\ =\frac{8\times 7}{2\times 1}\\ =28ways\end{array}$

So, the numbers of ways are 28.