#include <bits/stdc++.h>
using namespace std;
int64_t c[2020][2020], p = 1000000007;
void ncr() {
  for (int64_t i = 0; i < 2000; i++) {
    c[i][0] = 1;
    for (int64_t j = 1; j <= i; j++) {
      c[i][j] = (c[i - 1][j - 1] + c[i - 1][j]) % p;
    }
  }
}
signed main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  int64_t n, m, k;
  cin >> n >> m >> k;
  ncr();
  cout << (c[n - 1][2 * k] * c[m - 1][2 * k]) % p;
}
