Helping Ender iterate through combinations of items

ender.cpp

#include <iostream>

using namespace std;
static long FactNaive(int n)
{
    long r = 1;
    for (int i = 2; i <= n; ++i)
        r *= i;
    return r;
}
static long long CrNK (long n, long k)
{
    long long u, l;
    u = FactNaive(n+k-1);
    l = FactNaive(k)*FactNaive(n-1);
    return u/l;
}

int main()
{
    int numberOFchoices=4,kountOfElementsInCombination=3;
    int arrayOfSingleCombination[kountOfElementsInCombination] = {0,0,0};
    int arrayIndexOfIncrementation,bIfIeverNeedIt;
    arrayIndexOfIncrementation=bIfIeverNeedIt=kountOfElementsInCombination-1;

    // By default, this points to a position behind last element, indicating
    // that no resets are necessary
    int leftmostResetPos = kountOfElementsInCombination;

    for (long long i = 0; i < CrNK(numberOFchoices, kountOfElementsInCombination); i++)
    {
        leftmostResetPos = kountOfElementsInCombination;

        if (i != 0)
        {
            arrayOfSingleCombination[arrayIndexOfIncrementation]++;

            for (int j = kountOfElementsInCombination-1; j > 0; j--)
            {
                if(arrayOfSingleCombination[j] == numberOFchoices)
                {

                    // we're iterating through j in descending order, so no
                    // checks are necessary - j is moving from right to left
                    leftmostResetPos = j;
                    // the value of arrayOfSingleCombination[j] will be reset
                    // later
                    arrayOfSingleCombination[j-1]++;


                }

            }

        }

        if (leftmostResetPos != kountOfElementsInCombination) {
            arrayIndexOfIncrementation = kountOfElementsInCombination - 1;

            int resetValue = 1;

            for (int j = 0; j < leftmostResetPos; j++) {
                if (arrayOfSingleCombination[j] > resetValue) {
                    resetValue = arrayOfSingleCombination[j];
                }
            }

            for (int j = leftmostResetPos; j != kountOfElementsInCombination; j++) {
                arrayOfSingleCombination[j] = resetValue;
            }
        }


        for (int j = 0; j<kountOfElementsInCombination; j++)
        {
            cout<<arrayOfSingleCombination[j]<<" ";
        }
        cout<<"\n";

    }

    return 0;
}

this helped me a lot, thanks.