#include<bits/stdc++.h>

using namespace std;
#define int long long
// typedef long long int;

int const N = 4e6 + 10, mod = 1e9 + 7;
int fact[N], infact[N];
int n, m, k;

int qmi(int a, int k, int p) {
    int res = 1;
    while (k) {
        if (k & 1) res = res * a % p;
        k >>= 1;
        a = a * a % p;
    }
    return res;
}

// 预处理
void init() {
    fact[0] = infact[0] = 1;
    for (int i = 1; i < N; ++i) {
        fact[i] = (int)fact[i - 1] * i % mod;
        infact[i] = (int)infact[i - 1] * qmi(i, mod - 2, mod) % mod;
    }
}

int cnm(int a, int b) {
    return (int)fact[a] * infact[b] % mod * infact[a - b] % mod;
}

signed main() {
    init();  // 预处理
    cin >> n >> m >> k;  // c(n + m, n) - c(n + m, n - k - 1)
    if (n >= m + k + 1) cout << 0;
    else cout << ((cnm(n + m, n) % mod - cnm(n + m, m + k + 1) % mod) % mod + mod) % mod ;
    return 0;
}
// title

#include <cstdint>

template <std::uint_fast64_t Modulus> class modint {
  using u64 = std::uint_fast64_t;

public:
  u64 a;

  constexpr modint(const u64 x = 0) noexcept : a(x % Modulus) {}
  constexpr u64 &value() noexcept { return a; }
  constexpr const u64 &value() const noexcept { return a; }
  constexpr modint operator+(const modint rhs) const noexcept {
    return modint(*this) += rhs;
  }
  constexpr modint operator-(const modint rhs) const noexcept {
    return modint(*this) -= rhs;
  }
  constexpr modint operator*(const modint rhs) const noexcept {
    return modint(*this) *= rhs;
  }
  constexpr modint operator/(const modint rhs) const noexcept {
    return modint(*this) /= rhs;
  }
  constexpr modint &operator+=(const modint rhs) noexcept {
    a += rhs.a;
    if (a >= Modulus) {
      a -= Modulus;
    }
    return *this;
  }
  constexpr modint &operator-=(const modint rhs) noexcept {
    if (a < rhs.a) {
      a += Modulus;
    }
    a -= rhs.a;
    return *this;
  }
  constexpr modint &operator*=(const modint rhs) noexcept {
    a = a * rhs.a % Modulus;
    return *this;
  }
  constexpr modint &operator/=(modint rhs) noexcept {
    u64 exp = Modulus - 2;
    while (exp) {
      if (exp % 2) {
        *this *= rhs;
      }
      rhs *= rhs;
      exp /= 2;
    }
    return *this;
  }
};

#include <bits/stdc++.h>
using namespace std;
#define rep(i,n) for (int i = 0; i < (n); ++i)
using ll = long long;

#define prime 1000000007

modint<prime> path(int x, int y){
  if(x<0 || y<0){
    return 0;
  }
  modint<prime> ans = 1;
  rep(i,x+y){
    ans *=i+1;
  }
  rep(i,x){
    ans /=i+1;
  }
  rep(i,y){
    ans /=i+1;
  }
  return ans;
}

int main() {
  int N,M,K;
  cin >> N >> M >> K;
  if(N > M+K){
    cout << "0\n";
    return 0;
  }

  int ans = (path(N,M) - path(N-(K+1), M+(K+1))).value();
  cout << ans << endl;
}
