import java.io._
import java.util.StringTokenizer
import scala.util.control.Breaks.{breakable,break}
import scala.collection.mutable.{Map, Stack, Queue, PriorityQueue}

object Main extends App {
  val in = new InputReader(System.in)
  val pw = new PrintWriter(System.out)

  val N, M, K = in.next().toLong

  val MOD = 1e9.toLong + 7

  var ans = 0L

  val combN = (N*M - 2).toInt

  val mc = new ModComb(combN, MOD)

  def calc(x: Long, y: Long, dist: Long): Long = {
    var res = y*y * (x-dist)
    res %= MOD
    res *= mc.comb(combN, K.toInt - 2)
    res %= MOD
    res *= dist
    res %= MOD

    res
  }

  for (dist <- 1 to (N-1).toInt) {
    ans += calc(N, M, dist)
    ans %= MOD
  }

  for (dist <- 1 to (M-1).toInt) {
    ans += calc(M, N, dist)
    ans %= MOD
  }

  println(ans)
}

class ModComb(maxNum: Int, mod: Long) {

  private def repeatSquares(x: Long, n: Long): Long = {
    if(n == 0)
      1
    else if(n % 2 == 0)
      repeatSquares(x*x % mod, n/2)
    else
      (x * repeatSquares(x*x % mod, n/2)) % mod
  }

  private val fact = new Array[Long](maxNum + 1)

  fact(0) = 1
  for (i <- 1 to maxNum)
    fact(i) = (i * fact(i-1)) % mod

  private val factInv = new Array[Long](maxNum + 1)

  factInv(maxNum) = repeatSquares(fact(maxNum), mod-2)
  for (i <- (1 to maxNum).reverse)
    factInv(i-1) = (i * factInv(i)) % mod


  // nCk
  def comb(n: Int, k: Int): Long = {
    val numer = fact(n)
    val denom = (factInv(n-k) * factInv(k)) % mod

    (numer * denom) % mod
  }

}

class InputReader(stream: InputStream) {
  private[this] val reader = new BufferedReader(new InputStreamReader(stream))
  private[this] var tokenizer: StringTokenizer = new StringTokenizer(reader.readLine())
  def next(): String = {
    while (!tokenizer.hasMoreTokens()) {
      tokenizer = new StringTokenizer(reader.readLine())
    }
    tokenizer.nextToken()
  }
}

object Sub {
  def print2DimArray[A](mat: Array[Array[A]]): Unit = {
    mat.foreach(lin => println(lin.deep))
  }
}
