#include <bits/stdc++.h>
using namespace std;
long long i, j, k, l, m, n, a[1111][1111], t, b, c, p, q, w, s[1111], r;
int main() {
  cin >> n >> m >> k;
  p = 1000000007;
  for (i = 3; i <= 1000; i++) {
    a[i][1] = (i - 1) * (i - 2) / 2;
  }
  for (i = 3; i <= 1000; i++) {
    for (j = 2; j <= 1000; j++) {
      for (t = 1; t < i - 2 * j + 1; t++) a[i][j] += t * a[i - t - 1][j - 1];
      a[i][j] %= p;
    }
  }
  cout << a[n][k] * a[m][k] % p;
}
