C++ :

#include<cstdio>
#include<cstring>
#include<cmath>
#include<iostream>
#include<algorithm>
using namespace std;

long long n,m,t;

long long C(long long n,long long m)
{
    long long ans=1;
    for(long long i=0;i<m;i++)
    {
        ans=ans*(n-i)/(i+1);
    }
    return ans;
}

int main()
{
    int T;
    cin>>T;
    while(T--)
    {
        cin>>n>>m>>t;
        long long ans;
        ans=C(n+m,t)-C(n,t)-C(m,t)-C(n,1)*C(m,t-1)-C(n,2)*C(m,t-2)-C(n,3)*C(m,t-3);
        cout<<ans<<endl;
    }

    return 0;
}