#include <bits/stdc++.h>
using namespace std;
const long long int mod = 1000000007;
long long int ncr[2005][2005];
signed main() {
  ios::sync_with_stdio(0);
  cin.tie(0);
  cout.tie(0);
  {
    ncr[0][0] = 1;
    for (long long int i = 1; i < 2005; i++) {
      ncr[i][0] = 1;
      for (long long int j = 1; j < i + 1; j++)
        ncr[i][j] = (ncr[i - 1][j - 1] + ncr[i - 1][j]) % mod;
    }
    long long int n, m, k;
    cin >> n >> m >> k;
    long long int ans = (ncr[n - 1][2 * k] * ncr[m - 1][2 * k]) % mod;
    cout << ans << '\n';
  }
  cerr << "Time elapsed : " << 1.0 * clock() / CLOCKS_PER_SEC << " sec \n";
  return 0;
}
