#include <bits/stdc++.h>
const int MOD = 1000000007;
int64_t dp[2001][2001];
int main() {
  int n, m, k;
  std::cin >> n >> m >> k;
  dp[0][0] = 1;
  for (int i = 1; i <= 2000; ++i) {
    dp[i][0] = 1;
    for (int j = 1; j < i; ++j) {
      dp[i][j] = (dp[i - 1][j - 1] + dp[i - 1][j]) % MOD;
    }
    dp[i][i] = 1;
  }
  std::cout << (dp[n - 1][2 * k] * dp[m - 1][2 * k]) % MOD << '\n';
  return 0;
}
