What do $n$ and $r$ stands for in permutations?

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Solution

Permutation:
A permutation is the arrangement of elements in a definite order.
The $n$ in the term ${}^{n}{P_{r}}$ denotes the total number of elements in a set.
The $r$ in the term ${}^{n}{P_{r}}$ denotes the number of elements to be arranged from the total number of elements.
${}^{n}{P_{r}} = \frac{n!}{(n - r)!}$ where $n$ is the total number of elements and $r$ is the elements to be arranged.

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