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C/C++ Program for Print all possible combinations of r elements in a given array of size n.
program solution
// Program to print all combination of size r in an array of size n
#include <stdio.h>
void combinationUtil(int arr[], int data[], int start, int end, int index, int r);
// The main function that prints all combinations of size r in arr[] of size n. This function mainly uses combinationUtil()
void printCombination(int arr[], int n, int r)
{
// A temporary array to store all combination one by one int data[r];
// Print all combination using temprary array 'data[]'
combinationUtil(arr, data, 0, n-1, 0, r);
}
/* arr[] ---> Input Array
data[] ---> Temporary array to store current combination
start & end ---> Staring and Ending indexes in arr[]
index ---> Current index in data[]
r ---> Size of a combination to be printed */
void combinationUtil(int arr[], int data[], int start, int end, int index, int r)
{
// Current combination is ready to be printed, print it
if (index == r)
{
for (int j=0; j<r; j++)
printf("%d ", data[j]);
printf("\n");
return;
}
// replace index with all possible elements. The condition "end-i+1 >= r-index" makes sure that including one element at index will make a combination with remaining elements at remaining positions
for (int i=start; i<=end && end-i+1 >= r-index; i++)
{
data[index] = arr[i];
combinationUtil(arr, data, i+1, end, index+1, r);
}
}
// Driver program to test above functions
int main()
{
int arr[] = {1, 2, 3, 4, 5};
int r = 3;
int n = sizeof(arr)/sizeof(arr[0]);
printCombination(arr, n, r);
}
Output
1 2 3
1 2 4
1 2 5
1 3 4
1 3 5
1 4 5
2 3 4
2 3 5
2 4 5
3 4 5