#include<iostream>
using namespace std;
const long mod=1e9+7;
long power(long a,long b){return b?power(a*a%mod,b/2)*(b%2?a:1)%mod:1;}
long fac[2<<17],inv[2<<17];
long N,M,K;
long comb(int a,int b){return fac[a]*inv[b]%mod*inv[a-b]%mod;}
main()
{
	cin>>N>>M>>K;
	fac[0]=1;
	for(int i=1;i<2<<17;i++)fac[i]=fac[i-1]*i%mod;
	inv[(2<<17)-1]=power(fac[(2<<17)-1],mod-2);
	for(int i=(2<<17)-1;i--;)inv[i]=inv[i+1]*(i+1)%mod;
	long ans=0;
	for(int L=1;;L++)
	{
		if(N+M-2*L<K)break;
		if(N<L||M<L)break;
		(ans+=comb(N-1,L-1)*comb(M-1,L-1)%mod*fac[N]%mod*fac[M]%mod*power(L,mod-2)%mod)%=mod;
	}
	cout<<ans<<endl;
}