<sigh> I wrote a long post for probably half an hour and then because it logged me out the whole thing got eaten. I spent about 5 hours today trying to work through this problem and look for some examples that I could understand to help me grasp it, with no success.

I am looking for a simple, elegant solution to recursive function that takes n, the total amount of people, and k, the number of people per group. Then it displays all the unique combination's of groups. For example, n = 5, k = 3...

543

542

541

532

531

521

432

431

421

321

The problem describes dividing up the problem by the functions calling itself twice with (n - 1, k - 1) and (n - 1, k). My code, which doesn't work, that I will post below, is using a string to store the numbers, I am open to suggestions but **I do not want a solution involving a bunch of libraries**. I am fairly sure, given the context of the problem, that it shouldn't be to overly complex. The problem describes the base case as being when K or n = 0 or when k > n.

At this point I am looking for any advice or tips on this. If you do post a working example, I am not going to copy it because I actually want to learn this stuff, and I've had plenty of opportunities to copy complicated versions I couldn't make sense of.

Code:

include <iostream>
using namespace std;
string output = "";
int showTeams (long n, long k, string p)
{
if (k == 0 || n == 0 || k > n)
{
output += p + " ";
return 0;
}
else
{
showTeams(n - 1, k - 1, p+= static_cast<char>(n+48));
showTeams(n - 1, k, p);
}
}
int main()
{
showTeams(5,3, "");
cout << output << endl;
}