#include <bits/stdc++.h>
using namespace std;
long long C[1010][1010];
const long long MOD = 1000000007;
int main() {
  ios::sync_with_stdio(false);
  int n, m, k;
  cin >> n >> m >> k;
  k = k * 2;
  if (k > n - 1 || k > m - 1) {
    cout << 0 << endl;
    return 0;
  }
  C[0][0] = 1;
  for (int i = 0; i < 1010; i++) {
    C[i][0] = C[i][i] = 1;
    for (int j = 1; j < i; j++) {
      C[i][j] = C[i - 1][j - 1] + C[i - 1][j];
      C[i][j] %= MOD;
    }
  }
  cout << C[n - 1][k] * C[m - 1][k] % MOD << endl;
  return 0;
}
