#include <unordered_map>
#include <unordered_set>
#include <functional>
#include <algorithm>
#include <iostream>
#include <complex>
#include <cstdlib>
#include <cstring>
#include <cassert>
#include <climits>
#include <iomanip>
#include <cstdarg>
#include <bitset>
#include <vector>
#include <cstdio>
#include <cmath>
#include <queue>
#include <deque>
#include <stack>
#include <ctime>
#include <set>
#include <map>
using namespace std;
#define il inline
#define elif else if

// Type
#define ld double
#define ll long long
#define ull unsigned ll

// Vector
#define vc vector
#define Pb push_back
#define Pf push_front
#define All(x) x.begin(),x.end()

// Memory
#define Ms(_data) memset(_data,0,sizeof(_data))
#define Msn(_data,_num) memset(_data,_num,sizeof(_data))

// Template
#define _cl class
#define _tp template
#define _tyn typename

// Pair
#define Mp make_pair
#define F first
#define S second
#define pii pair<int,int>
#define pli pair<ll,int>
#define pil pair<int,ll>
#define pll pair<ll,ll>

// Loop
#define For(i,j) for( int (i) = 1 ; (i) <= (j) ; ++(i) )
#define For0(i,j) for( int (i) = 0 ; (i) < (j) ; ++(i) )
#define Forx(i,j,k) for( int (i) = (j) ; (i) <= (k) ; ++(i) )
#define Forstep(i,j,k,st) for( int (i) = (j) ; (i) <= (k) ; (i) += (st) )
#define fOR(i,j) for( int (i) = (j) ; (i) >= 1 ; --(i) )
#define fOR0(i,j) for( int (i) = (j)-1 ; (i) >= 0 ; --(i) )
#define fORx(i,j,k) for( int (i) = (k) ; (i) >= (j) ; --(i) )

// Read
struct InputReader{
	#define bs 1000001
	char buf[bs]; int p;
	il InputReader(){ p = bs; }
	il void Flush(){ p = 0; fread(buf,1,bs,stdin); }
	il char C(){ if(p >= bs) Flush(); return buf[p++]; }
	il char Readnum(){ char ch = C(); while( !isdigit(ch) && ch != '-' ) ch = C(); return ch; }
	il void Readalpha( char &c ){ c = C(); while( !isalpha(c) ) c = C(); }
	int operator() (){
		int ans = 0, fu = 1; char ch = Readnum();
		if( ch == '-' ) fu = -1, ch = C();
		while( ch >= '0' && ch <= '9' ){
			ans = ans*10 + ch-'0';
			ch = C();
		}
		return ans * fu;
	}
	ll Readll(){
		ll ans = 0LL, fu = 1LL; char ch = Readnum();
		if( ch == '-' ) fu = -1LL, ch = C();
		while( ch >= '0' && ch <= '9' ){
			ans = ans*10LL + ch-'0';
			ch = C();
		}
		return ans * fu;
	}
	il void Readstring( string &x ){
		x.clear(); char ch = C();
		while( !isdigit(ch)  &&  !isalpha(ch)  &&  ch != '#'  &&  ch != '.' ) ch = C();
		while( isdigit(ch)  ||  isalpha(ch)  ||  ch == '#'  ||  ch == '.' ){
			x += ch;
			ch = C();
		}
	}
	il void Readchstring( char s[] ){
		int len = 0; char ch = C();
		while( !isdigit(ch)  &&  !isalpha(ch)  /*&&  ch != '*'  &&  ch != '?'*/ ) ch = C();
		while( isdigit(ch)  ||  isalpha(ch)  /*||  ch == '*'  ||  ch == '?'*/ ){
			s[len++] = ch;
			ch = C();
		}
		s[len] = '\0';
	}
	il void Specialread( char &c ){
		c = C();
		while( !isdigit(c) && !isalpha(c) && c != '#'  &&  c != '.'  &&  c != '='  &&  c != 'B' ) c = C();
	}
	#undef bs
}In;
il void Read( int &x ){ x = In(); }
il void Read( int &x, int &y ){ x = In(); y = In(); }
il void Read( int &x1 , int &x2 , int &x3 ){ x1 = In(); x2 = In(); x3 = In(); }
il void Read( int &x1 , int &x2 , int &x3 , int &x4 ){ x1 = In(); x2 = In(); x3 = In(); x4 = In(); }
il void Read( ll &x ){ x = In.Readll(); }
il void Read( ll &x, ll &y ){ x = In.Readll(); y = In.Readll(); }
il void Read( ll &x1 , ll &x2 , ll &x3 ){ x1 = In.Readll(); x2 = In.Readll(); x3 = In.Readll(); }
il void Read( ll &x1 , ll &x2 , ll &x3 , ll &x4 ){ x1 = In.Readll(); x2 = In.Readll(); x3 = In.Readll(); x4 = In.Readll(); }
_tp<_tyn T> il void Read( T a[] , int s , int t ){ Forx(i,s,t) Read(a[i]); }
#define iRead(k) int k; Read(k);
#define iRead2(a,b) iRead(a); iRead(b);
#define iRead3(a,b,c) iRead2(a,b); iRead(c);
#define iRead4(a,b,c,d) iRead2(a,b); iRead2(c,d);
#define lRead(k) ll k; Read(k);
#define lRead2(a,b) lRead(a); lRead(b);
#define lRead3(a,b,c) lRead2(a,b); lRead(c);
#define lRead4(a,b,c,d) lRead2(a,b); lRead2(c,d);

// File
#define Fin(a) freopen(a,"r",stdin)
#define Fout(a) freopen(a,"w",stdout)
il void FILEIO(){
	#ifdef intLSY
		Fin("in.in");
	#endif
}
il void FILEIO( string pname ){
	#ifndef intLSY
		Fin((pname+".in").c_str());
		Fout((pname+".out").c_str());
	#else
		Fin("in.in");
	#endif
}
void Printtime(){
	#ifdef intLSY
		double _timeuse = clock()* 1000.0 / CLOCKS_PER_SEC;
		fprintf(stderr,"\n\nTime usage:\n%.0lf ms\n",_timeuse);
	#endif
}
void END(){ Printtime(); exit(0); }
_tp<_tyn T>void END( T mes ){ cout << mes << endl; END(); }

// Debug
#define B cerr << "BreakPoint" << endl;
#define O(x) cerr << #x << " " << x << endl;
#define O_(x) cerr << #x << " " << x << "  ";
#define ERR(x) cerr << "ERR! #" << x << endl;
#define Msz(x) cerr << "Sizeof " << #x << " " << sizeof(x)/1024/1024 << " MB" << endl;
_tp<_tyn T>void Print( T a[] , int s , int t , char sp = ' ' , char ed = '\n' ){
	if( s > t ) return;
	for( int i = s ; i < t ; i++ )
		cout << a[i] << sp;
	cout << a[t] << ed;
	cout.flush();
}
_tp<_tyn T>void Print( T a , int s = 0 , int t = -1 , char sp = ' ' , char ed = '\n' ){
	if( t == -1 ) t = a.size()-1;
	for( int i = s ; i <= t ; i++ )
		cout << a[i] << sp;
	cout << ed;
	cout.flush();
}

// Optimize
#define max(a,b) ((a)>(b)?(a):(b))
#define min(a,b) ((a)<(b)?(a):(b))
#define Mymax(a,b) (a) = max((a),(b))
#define Mymin(a,b) (a) = min((a),(b))
#define INF (0x3f3f3f3f)
#define LINF ((long long)(0x3f3f3f3f3f3f3f3f))
#define MOD (1000000007)
#define Rmoi(a,b) ((a)%b+b)%b
#define Rmo(a) ((a)%MOD+MOD)%MOD
#define Rmod(a) a = (a%MOD+MOD)%MOD
#define Rmodi(a,b) a = (a%(b)+(b))%(b)
#define Mymoi(a,b) ((a)>=b?((a)-b):(a))
#define Mymo(a) ((a)>=MOD?((a)-MOD):(a))
#define Mymod(a) a = (a)>=MOD?((a)-MOD):(a)
#define Mymodi(a,b) a = ((a)>=(b))?((a)-(b)):(a)
ll Pow( ll a , ll b , ll p = MOD ){
	ll ret = 1;
	for( ; b ; a = a*a%p, b >>= 1LL )
		if(b&1LL) ret = ret*a%p;
	return ret;
}
ll Inv( ll a , ll p = MOD ){ return Pow(a,p-2LL,p); }
///////////////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////////////
#define MAXN 16777216

ll h,w,n,k;

ll c[2][4];
ll t1,t2,t3;
const ll inv2 = Inv(2), inv3 = Inv(3), inv6 = inv2*inv3%MOD;
void Init(){
	c[0][0] = 1;
	c[0][1] = k;
	c[0][2] = k*(k-1) % MOD * inv2 % MOD;
	c[0][3] = k*(k-1) % MOD * (k-2) % MOD * inv6 % MOD;
	c[1][0] = 1;
	c[1][1] = n;
	c[1][2] = n*(n-1) % MOD * inv2 % MOD;
	c[1][3] = n*(n-1) % MOD * (n-2) % MOD * inv6 % MOD;
	t1 = k * Inv(n) % MOD;
	// O(Inv(c[1][2])*c[0][2]);
	t2 = c[0][2] * Inv(c[1][2]) % MOD;
	t3 = c[0][3] * Inv(c[1][3]) % MOD;
	// cout << t1 << " " << t2 << " " << t3 << endl;
}

int main(){
	FILEIO();

	Read(h,w,k);
	n = h+w;

	Init();

	ll ans = k;

	ll tans = ( t2 + t3*inv3%MOD*(n-2) ) % MOD;
	tans = tans * (h*w%MOD) % MOD;
	ans = Mymo(ans+tans);

	tans = ( t1 + t2*inv2%MOD*(n-1) ) % MOD;
	tans = tans * n % MOD;
	ans = Mymo(ans+tans);

	Forx(i,n-k+1,n) ans = ans*i % MOD;
	cout << ans << endl;

	END();
}


Measured memory_bytes: 384