integer N,M,K
integer waruno
integer(8) ans,tmp
read*,N,M,K
waruno=10**9+7
comb=combination(N*M-2,K-2)
ans=0
do i=0,M-1
  do j=0,N-1
    tmp=(i+j)*(M-i)*(N-j)*comb*merge(1,2,i*j==0)
    ans=mod(ans+tmp,waruno)
  end do
end do
print"(i0)",ans

contains
function kaijo(k)
integer k
integer(8) kaijo,i
kaijo=1
do i=1,k
  kaijo=kaijo*i
end do
end function kaijo
function combination(n,k)
integer n
integer k
integer(8) combination
combination=mod(kaijo(n)/kaijo(k)/kaijo(n-k),waruno)
end function combination
end
