Combinari de n numere naturale | Programe C++

#include <iostream>
using namespace std;
int main()
{
int i, factn=1, factk=1, n, k, factnk=1, comb;
cout<<"n=";
cin>>n;
cout<<"k=";
cin>>k;
if(n<k){
cout<<"Nu exista factorial!";}
else{

for(i=1;i<=n;i++){
factn=factn*i;
}

for(i=1;i<=k;i++){
factk=factk*i;
}

for(i=1; i<=n-k; i++){
factnk=factnk*i;
}

if(n!=0)
{
comb=factn/((factk)*(factnk));
}
cout<<"Combinari de "<<n<<" luate cate "<<k<<" = "<<comb;
}
}