#include <bits/stdc++.h>

int ri() {
	int n;
	scanf("%d", &n);
	return n;
}
#define MOD 1000000007

template<int mod>
struct ModInt{
	int x;
	ModInt():x(0){}
	ModInt(long long y):x(y>=0?y%mod:(mod-(-y)%mod)%mod){}
	ModInt &operator+=(const ModInt &p){
		if((x+=p.x)>=mod)x-=mod;
		return *this;
	}
	ModInt &operator-=(const ModInt &p){
		if((x+=mod-p.x)>=mod)x-=mod;
		return *this;
	}
	ModInt &operator*=(const ModInt &p){
		x=(int)(1LL*x*p.x%mod);
		return *this;
	}
	ModInt &operator/=(const ModInt &p){
		*this*=p.inverse();
		return *this;
	}
	ModInt &operator^=(long long p){
		ModInt res = 1;
		for (; p; p >>= 1) {
			if (p & 1) res *= *this;
			*this *= *this;
		}
		return *this = res;
	}
	ModInt operator-()const{return ModInt(-x);}
	ModInt operator+(const ModInt &p)const{return ModInt(*this)+=p;}
	ModInt operator-(const ModInt &p)const{return ModInt(*this)-=p;}
	ModInt operator*(const ModInt &p)const{return ModInt(*this)*=p;}
	ModInt operator/(const ModInt &p)const{return ModInt(*this)/=p;}
	ModInt operator^(long long p)const{return ModInt(*this)^=p;}
	bool operator==(const ModInt &p)const{return x==p.x;}
	bool operator!=(const ModInt &p)const{return x!=p.x;}
	explicit operator int() const { return x; }						   // added by QCFium
	ModInt operator=(const int p) {x = p; return ModInt(*this);} // added by QCFium
	ModInt inverse()const{
		int a=x,b=mod,u=1,v=0,t;
		while(b>0){
			t=a/b;
			a-=t*b;
			std::swap(a,b);
			u-=t*v;
			std::swap(u,v);
		}
		return ModInt(u);
	}
	friend std::ostream &operator<<(std::ostream &os,const ModInt<mod> &p){
		return os<<p.x;
	}
	friend std::istream &operator>>(std::istream &is,ModInt<mod> &a){
		long long x;
		is>>x;
		a=ModInt<mod>(x);
		return (is);
	}
};
typedef ModInt<MOD> mint;

struct MComb {
	std::vector<mint> fact;
	std::vector<mint> inv;
	MComb (int n) { // O(n + log(mod))
		fact = std::vector<mint>(n + 1, 1);
		for (int i = 1; i <= n; i++) fact[i] = fact[i - 1] * mint(i);
		inv.resize(n + 1);
		inv[n] = fact[n] ^ (MOD - 2);
		for (int i = n; i--; ) inv[i] = inv[i + 1] * mint(i + 1);
	}
	mint ncr(int n, int r) {
		return fact[n] * inv[r] * inv[n - r];
	}
	mint npr(int n, int r) {
		return fact[n] * inv[n - r];
	}
	mint nhr(int n, int r) {
		assert(n + r - 1 < (int) fact.size());
		return ncr(n + r - 1, r);
	}
};

int main() {
	int n = ri(), m = ri();
	MComb com(n + m);
	int k = ri();
	int clearance = n + m - k;
	mint res = 0;
	for (int i = 1; i * 2 <= clearance; i++) {
		if (i > n || i > m) break;
		mint curn = com.npr(n, i) * com.fact[n - 1] / com.fact[i - 1];
		mint curm = com.npr(m, i) * com.fact[m - 1] / com.fact[i - 1];
		res += curn * curm / i;
	}
	std::cout << res << std::endl;
	
	return 0;
}