Chapter 0.5, Problem 18E

To determine

the ways can the reporters be assigned to cover the stories.

Answer to Problem 18E

The numbers of possibilities are 126possibilities .

Explanation of Solution

Given information :

It is given that a newspaper has 9 reporters available to cover 4 different stories.

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

The number of possibilities is given by,

  $\begin{array}{c}C{}_4=\frac{9!}{4!\times 5!}\\ =\frac{9\times 8\times 7\times 6\times 5\times 4\times 3\times 2}{5\times 4\times 3\times 2\times 4\times 3\times 2}possibilities\\ =\frac{9\times 2\times 7}{1}possibilities\\ =126possibilities\end{array}$

So, the numbers of possibilities are 126possibilities .