#include <bits/stdc++.h>
#define rep(i,n) for(int i=0;i<(int)(n);i++)
using namespace std;
using ll = long long ;
using P = pair<int,int> ;
using pll = pair<long long,long long>;
constexpr int INF = 1e9;
constexpr long long LINF = 1e18;
constexpr int MOD = 1000000007;


const int MAX = 1000000;
long long fac[MAX], finv[MAX], inv[MAX];

// テーブルを作る前処理
void COMinit() {
    fac[0] = fac[1] = 1;
    finv[0] = finv[1] = 1;
    inv[1] = 1;
    for (int i = 2; i < MAX; i++){
        fac[i] = fac[i - 1] * i % MOD;
        inv[i] = MOD - inv[MOD%i] * (MOD / i) % MOD;
        finv[i] = finv[i - 1] * inv[i] % MOD;
    }
}

// 二項係数計算
long long COM(int n, int k){
    if (n < k) return 0;
    if (n < 0 || k < 0) return 0;
    return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD;
}


int main(){
    COMinit();
    int n,m,k;
    cin >> n >> m >>k;
    ll ans = 0;
    for(int i=1;2*i<=n+m-k;i++){
        ans = (ans + (COM(n,i) * COM(m-1,i-1))%MOD)%MOD;
    }
    ll res = (fac[n-1] * fac[m])%MOD;
    ans = (ans * res)%MOD;
    cout << ans << endl;
    return 0;
}