evaluate the following permutation: 5p4

Answer:

120

Explanation:

Step1: Recall permutation formula

The formula for permutations is ${n}P{r}=\frac{n!}{(n - r)!}$. Here $n = 5$ and $r=4$.

Step2: Calculate factorial values

$n!=n\times(n - 1)\times\cdots\times1$. So $5! = 5\times4\times3\times2\times1=120$ and $(5 - 4)!=1!=1$.

Step3: Substitute values into formula

${5}P{4}=\frac{5!}{(5 - 4)!}=\frac{120}{1}=120$.