//#include <tourist>
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<ll, ll> p;
const int INF = 1e9;
const ll LINF = ll(1e18);
const int MOD = 1000000007;
const int dx[4] = {0, 1, 0, -1}, dy[4] = {-1, 0, 1, 0};
const int Dx[8] = {0, 1, 1, 1, 0, -1, -1, -1}, Dy[8] = {-1, -1, 0, 1, 1, 1, 0, -1};
#define yes cout << "Yes" << endl
#define YES cout << "YES" << endl
#define no cout << "No" << endl
#define NO cout << "NO" << endl
#define rep(i, n) for (int i = 0; i < n; i++)
#define ALL(v) v.begin(), v.end()
#define debug(v)          \
    cout << #v << ":";    \
    for (auto x : v)      \
    {                     \
        cout << x << ' '; \
    }                     \
    cout << endl;
template <class T>
bool chmax(T &a, const T &b)
{
    if (a < b)
    {
        a = b;
        return 1;
    }
    return 0;
}
template <class T>
bool chmin(T &a, const T &b)
{
    if (b < a)
    {
        a = b;
        return 1;
    }
    return 0;
}
//cout<<fixed<<setprecision(15);有効数字15桁
//-std=c++14
//-std=gnu++17
ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; }
ll lcm(ll a, ll b) { return a / gcd(a, b) * b; }
int n, m;
vector<int> a;
const ll M = pow(10, 9) + 7;

vector<ll> fac(2000001);  //n!(mod M)
vector<ll> ifac(2000001); //k!^{M-2} (mod M)
ll mpow(ll x, ll n)
{ //x^n(mod M)
    ll ans = 1;
    while (n != 0)
    {
        if (n & 1)
            ans = ans * x % M;
        x = x * x % M;
        n = n >> 1;
    }
    return ans;
}
// 繰り返し二乗法
ll pow_mod(ll x, ll n)
{
    if (n == 0)
        return 1;
    ll ret = pow_mod((x * x) % MOD, n / 2);
    if (n & 1)
        ret = (ret * x) % MOD;
    return ret;
}
//conbination
ll comb(ll a, ll b)
{ //aCb(mod M)
    if (a == 0 && b == 0)
        return 1;
    if (a < b || a < 0)
        return 0;
    ll tmp = ifac[a - b] * ifac[b] % M;
    return tmp * fac[a] % M;
}
//n!
ll fact_mod(ll n)
{
    ll ret = 1;
    for (ll i = 2; i <= n; i++)
        ret = ret * (i % MOD) % MOD;
    return ret;
}
ll inv_mod(ll n)
{
    // フェルマーの小定理
    return pow_mod(n, MOD - 2);
}
int main()
{
    cin.tie(0);
    ios::sync_with_stdio(false);
    ll n,m,k;
    cin >> n>>m>>k;
    fac[0] = 1;
    ifac[0] = 1;
    for (ll i = 0; i < 2000000; i++)
    {
        fac[i + 1] = fac[i] * (i + 1) % M;              // n!(mod M)
        ifac[i + 1] = ifac[i] * mpow(i + 1, M - 2) % M; // k!^{M-2} (mod M)
    }
    ll i=1;
    ll ans=0;
    while(n+m-2*i>=k&&m-i>=0){
        ll temp=comb(n,i);
        temp*=comb(m-1,i-1);
        temp%=MOD;
        ans+=temp;
        ans%=MOD;
        i++;
    }
    ans*=fact_mod(n-1);
    ans%=MOD;
    ans*=fact_mod(m);
    ans %= MOD;
    cout<<ans<<"\n";
}