/**
 *   @FileName	a.cpp
 *   @Author	kanpurin
 *   @Created	2020.08.26 19:53:26
**/

#include "bits/stdc++.h" 
using namespace std; 
typedef long long ll;

constexpr int MOD = 1e9 + 7;
struct mint {
public:
    long long x;
    mint(long long x = 0) :x((MOD+x)%MOD) {}
    mint(std::string &s) {
        long long z = 0;
        for (int i = 0; i < s.size(); i++) {
            z *= 10;
            z += s[i] - '0';
            z %= MOD;
        }
        this->x = z;
    }
    mint& operator+=(const mint &a) {
        if ((x += a.x) >= MOD) x -= MOD;
        return *this;
    }
    mint& operator-=(const mint &a) {
        if ((x += MOD - a.x) >= MOD) x -= MOD;
        return *this;
    }
    mint& operator*=(const mint &a) {
        (x *= a.x) %= MOD;
        return *this;
    }
    mint& operator/=(const mint &a) {
        long long n = MOD - 2;
        mint u = 1, b = a;
        while (n > 0) {
            if (n & 1) {
                u *= b;
            }
            b *= b;
            n >>= 1;
        }
        return *this *= u;
    }
    mint operator+(const mint &a) const {
        mint res(*this);
        return res += a;
    }
    mint operator-(const mint &a) const {
        mint res(*this);
        return res -= a;
    }
    mint operator*(const mint &a) const {
        mint res(*this);
        return res *= a;
    }
    mint operator/(const mint &a) const {
        mint res(*this);
        return res /= a;
    }
    friend std::ostream& operator<<(std::ostream &os, const mint &n) {
        return os << n.x;
    }
    bool operator==(const mint &a) const {
        return this->x == a.x;
    }
    mint pow(long long k) const {
        mint ret = 1;
        mint p = this->x;
        while (k > 0) {
            if (k & 1) {
                ret *= p;
            }
            p *= p;
            k >>= 1;
        }
        return ret;
    }
};

template<typename T, typename U>
T pow(T k, U n, T unity = 1) {
    while (n > 0) {
        if (n & 1) {
            unity *= k;
        }
        k *= k;
        n >>= 1;
    }
    return unity;
}

struct Combination {
private:
    int N;
public:
    vector< mint > FACT, IFACT;
    
    Combination(int n) : N(n) {
        FACT.resize(n + 1);
        IFACT.resize(n + 1);
        FACT[0] = 1;
        IFACT[0] = 1;
        for (int i = 1; i <= n; i++) {
            FACT[i] = FACT[i - 1] * i;
            IFACT[i] = FACT[i].pow(MOD - 2);
        }
    }
    mint comb(int n, int r) {
        if (n < 0 || r < 0 || r > n) return 0;
        if (r > n / 2) r = n - r;
        return FACT[n] * IFACT[n - r] * IFACT[r];
    }
};
int main() {
    int n,m,k;cin >> n >> m >> k;
    Combination cb(max(n,m));
    mint ans = 0;
    for (int i = 1; i <= (n+m-k)/2; i++) {
        ans += cb.comb(n-1,i-1) * cb.comb(m-1,i-1) / i;
    }
    ans *= cb.FACT[n] * cb.FACT[m];
    cout << ans << endl;
    return 0;
}