Question

Find the value of each permutation.

$P(4,4)$

Short answer

The value of the given permutation is 24.

Step-by-step solution

Step 1. Given information.

The given permutation is $P(4,4)$.

Step 2. Determine the value of the permutation.

We know that,

$P(n,r)=\frac{n!}{(n-r)!}$

The given permutation can be written as:

$\begin{array}{rcl}P(4,4)& =& \frac{4!}{(4-4)!}\\ & =& \frac{4!}{0!}\\ & =& \frac{4\times 3\times 2\times 1}{1}\\ & =& 24\end{array}$

Step 3. Conclusion.

The value of the given permutation is 24.