#include <bits/stdc++.h>
using namespace std;
const int N = 2005;
int dr8[] = {0, 0, 1, -1, 1, 1, -1, -1};
int dc8[] = {1, -1, 0, 0, -1, 1, -1, 1};
int dr4[] = {0, 1, -1, 0};
int dc4[] = {1, 0, 0, -1};
int c[N][N];
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  cout.tie(NULL);
  int n, m, k;
  cin >> n >> m >> k;
  c[0][0] = 1;
  for (int i = 1; i < N; i++) {
    c[i][0] = c[i][i] = 1;
    for (int j = 1; j < i; j++) {
      c[i][j] = (c[i - 1][j - 1] + 1ll * c[i - 1][j]) % 1000000007;
    }
  }
  cout << c[n - 1][2 * k] * 1ll * c[m - 1][2 * k] % 1000000007;
}
