evaluate the following permutation: 6p5

Explanation:

Step1: Recall permutation formula

The formula for permutations is ${n}P{r}=\frac{n!}{(n - r)!}$. Here $n = 6$ and $r=5$.

Step2: Calculate factorial values

$n!=n\times(n - 1)\times\cdots\times1$. So $6! = 6\times5\times4\times3\times2\times1=720$ and $(6 - 5)!=1!=1$.

Step3: Substitute values into formula

${6}P{5}=\frac{6!}{(6 - 5)!}=\frac{720}{1}=720$.

Answer:

720