Question

evaluate the following permutation: $_{4}p_{3}$

Explanation:

Step1: Recall permutation formula

The formula for permutations is $_{n}P_{r}=\frac{n!}{(n - r)!}$. Here $n = 4$ and $r=3$.

Step2: Calculate factorial values

$n!=n\times(n - 1)\times\cdots\times1$. So $4! = 4\times3\times2\times1=24$ and $(4 - 3)!=1!=1$.

Step3: Substitute into formula

$_{4}P_{3}=\frac{4!}{(4 - 3)!}=\frac{24}{1}=24$.

Answer:

24