C program to perform power set operation on set

power set :- power set of a Set A is defined as the set of all subsets of the Set A including the Set itself and the null or empty set. It is denoted by P(A). Basically, this set is the combination of all subsets including null set, of a given set.
Example of Power Set:- Let us say Set A = { a, b, c } The power set P(A) = { { } , { a }, { b }, { c }, { a, b }, { b, c }, { c, a }, { a, b, c } } Now, the Power Set has 23 = 8 elements.

  // write a program in C language to perform
  // power set operation on set
  #include <stdio.h>
  #include <math.h>
  void printPowerSet(char *set, int set_size)
  {
      unsigned int pow_set_size = pow(2, set_size);
      int counter, j;
  
      printf(" power ser  is :-\n");
      for (counter = 0; counter < pow_set_size; counter++)
      {
          for (j = 0; j < set_size; j++)
          {
              /* Check if jth bit in the counter is set 
               If set then print jth element from set */
              if (counter & (1 << j))
                  printf(" {%c} ", set[j]);
          }
         printf("\n"); 
      }
  }
  //start program to print PowerSet
  int main()
  {
      char set[] = {'a', 'b', 'c'};
      printPowerSet(set, 3);
      return 0;
  }
  

When the above program is executed, it produces following results --

   power ser  is :-
   {a} 
   {b}
   {a}  {b}
   {c}
   {a}  {c} 
   {b}  {c} 
   {a}  {b}  {c} {0}
   {0}