Chapter 13.1, Problem 22E

To determine

To calculate: The value of expression $P\left(8,8\right)$ .

Answer to Problem 22E

The value of expression $P\left(8,8\right)$ is $40320$ .

Explanation of Solution

Given information:

The expression $P\left(8,8\right)$ .

Formula used:

If there are n objects taken n at a time then permutation is defined as $P\left(n,n\right)=n!$ .

Calculation:

Consider the expression $P\left(8,8\right)$ .

Recall that if there are n objects taken n at a time then permutation is defined as $P\left(n,n\right)=n!$ .

Here n is 8.

  $\begin{array}{c}P\left(8,8\right)=8!\\ =8\cdot 7\cdot 6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1\\ =40320\end{array}$

Thus, the value of expression $P\left(8,8\right)$ is $40320$ .