#include <bits/stdc++.h>
using namespace std;
vector<vector<int64_t> > dp(2002, vector<int64_t>(2002, 0));
int main() {
  ios ::sync_with_stdio(false);
  int64_t n, m, k;
  dp[0][0] = 1;
  for (int i = 1; i < ((int)(dp).size()); i++) {
    dp[i][0] = 1;
    for (int j = 1; j < ((int)(dp[i]).size()); j++)
      dp[i][j] = (dp[i - 1][j] + dp[i - 1][j - 1]) % 1000000007;
  }
  cin >> n >> m >> k;
  cout << (dp[n - 1][2 * k] * dp[m - 1][2 * k]) % 1000000007 << "\n";
  return (0);
}
