A permutation, also called an “arrangement number” or “order,” is a
rearrangement of the elements of an ordered list S into a one-to-one
correspondence with S itself. A string of length n has n! permutation.
Source: Mathword(http://mathworld.wolfram.com/Permutation.html)
Below are the permutations of string ABC.
ABC, ACB, BAC, BCA, CAB, CBA
Here is a solution using backtracking.

Source: Mathword(http://mathworld.wolfram.com/Permutation.html)
Below are the permutations of string ABC.
ABC, ACB, BAC, BCA, CAB, CBA
Here is a solution using backtracking.
# include <stdio.h>/* Function to swap values at two pointers */void swap (char *x, char *y){ char temp; temp = *x; *x = *y; *y = temp;} /* Function to print permutations of string This function takes three parameters: 1. String 2. Starting index of the string 3. Ending index of the string. */void permute(char *a, int i, int n) { int j; if (i == n) printf("%s\n", a); else { for (j = i; j <= n; j++) { swap((a+i), (a+j)); permute(a, i+1, n); swap((a+i), (a+j)); //backtrack } }} /* Driver program to test above functions */int main(){ char a[] = "ABC"; permute(a, 0, 2); getchar(); return 0;}
Output:
Algorithm Paradigm: Backtracking
Time Complexity: O(n*n!)
Please write comments if you find the above codes/algorithms incorrect, or find other ways to solve the same problem.
ABC ACB BAC BCA CBA CAB
Algorithm Paradigm: Backtracking
Time Complexity: O(n*n!)
Please write comments if you find the above codes/algorithms incorrect, or find other ways to solve the same problem.
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