#include <bits/stdc++.h>
#pragma comment(linker, "/STACK:16777216")
using namespace std;
int mul(int x, int y) {
  long long r = ((long long)x) * y;
  return (int)(r % 1000000007);
}
int pow(int x, int n) {
  int r = 1;
  while (n) {
    if (n % 2 == 1) r = mul(r, x);
    x = mul(x, x);
    n /= 2;
  }
  return r;
}
int divp(int x, int y) { return mul(x, pow(y, 1000000007 - 2)); }
int C(int n, int k) {
  if (k < 0 || k > n) return 0;
  if (k == 0 || k == n) return 1;
  if (n - k < k) k = n - k;
  int r = 1;
  for (int i = 0; i < k; i++) r = mul(r, n - i);
  for (int i = 1; i <= k; i++) r = divp(r, i);
  return r;
}
int main() {
  int n, m, k;
  cin >> n >> m >> k;
  int r = mul(C(n - 1, 2 * k), C(m - 1, 2 * k));
  cout << r << endl;
  return (0);
}
