main = do
  [n,m,k] <- map read . words <$> getLine
  print $ ((sum [abs(x1-x2)+abs(y1-y2) | x1 <- [1..n], x2 <- [1..n], y1 <- [1..m], y2 <- [1..m], x1 /= x2 || y1 /= y2] `div` 2) `mod` 1000000007 * c (n * m - 2) (k-2) `mod` 1000000007) `mod` 1000000007
c x y
  | y <= 0 = 1
  | otherwise = product[x-y+1..x]`div`product[1..y]
