Chapter 14, Problem 1RE

To determine

To calculate: The value of $8!$.

Answer to Problem 1RE

Solution:

The value of $8!$ is $\underset{\_}{40,320}$.

Explanation of Solution

Given information:

The expression is $8!$.

Formula used:

Let n be a positive integer. Then $n!$ is defined as the product of integers from 1 through n. That is,

$n!=\left(n\right)\left(n-1\right)\left(n-2\right)\cdots \left(2\right)\left(1\right)$

Calculation:

Consider the expression as $8!$.

Use the formula,

$n!=\left(n\right)\left(n-1\right)\left(n-2\right)\cdots \left(2\right)\left(1\right)$

Thus, put $n=8$ in the above formula,

$\begin{array}{ccc}\hfill 8!& =& 8\cdot 7\cdot 6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1\hfill \\ \hfill & =& 40,320\hfill \end{array}$

Hence, the value of $8!$ is $40,320$.