Letter Tile Possibilities

time limit per test: 2 seconds
memory limit per test: 256 megabytes

You have n  tiles, where each tile has one letter tiles[i] printed on it.

Return the number of possible non-empty sequences of letters you can make using the letters printed on those tiles.

 

Example 1:

Input: tiles = "AAB"
Output: 8
Explanation: The possible sequences are "A", "B", "AA", "AB", "BA", "AAB", "ABA", "BAA".


Example 2:

Input: tiles = "AAABBC"
Output: 188


Example 3:

Input: tiles = "V"
Output: 1

 

Constraints:

  • 1 <= tiles.length <= 7
  • tiles consists of uppercase English letters.


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Input: AAB

Expected Output: 8

Input: AAABBC

Expected Output: 188

Input: V

Expected Output: 1