Chapter 9.1, Problem 14E

Solution

To state: The evaluated value of the factorial expression $\left(3!\right)\left(0!\right)$ .

The resultant value is $\left(3!\right)\left(0!\right)=6$ .

Given information:

The given factorial expression is $\left(3!\right)\left(0!\right)$ .

Explanation:

A function that is used to find the number of possible ways in which a selected number of objects can be arranged among themselves is known as factorial.

Note that the value of $0!$ is 1.

Now consider the given factorial expression

  $\left(3!\right)\left(0!\right)$

Rewrite the factorial expression as,

  $\begin{array}{c}\left(3!\right)\left(0!\right)=\left(3\cdot 2\cdot 1\right)\left(1\right)\\ =6\cdot 1\\ =6\end{array}$

The value of $\left(3!\right)\left(0!\right)$ is 6.