# Day 20 of June LeetCode Challenge

1 min readJun 20, 2020

The set `[1,2,3,...,`

contains a total of *n*]*n*! unique permutations.

By listing and labeling all of the permutations in order, we get the following sequence for *n* = 3:

`"123"`

`"132"`

`"213"`

`"231"`

`"312"`

`"321"`

Given *n* and *k*, return the *k*th permutation sequence.

**Note:**

- Given
*n*will be between 1 and 9 inclusive. - Given
*k*will be between 1 and*n*! inclusive.

**Example 1:**

**Input:** n = 3, k = 3

**Output:** "213"

**Example 2:**

**Input:** n = 4, k = 9

**Output:** "2314"