const MOD: usize = 1e9 as usize + 7;

fn fact_inv(size: usize) -> (Vec<usize>, Vec<usize>) {
    let mut facts = vec![0usize; size+1];
    let mut fact_invs = vec![0usize; size+1];
    let mut invs = vec![0usize; size+1];
    facts[0] = 1;
    facts[1] = 1;
    fact_invs[0] = 1;
    fact_invs[1] = 1;
    invs[1] = 1;
    for i in 2..=size {
        facts[i] = facts[i-1] * i % MOD;
        invs[i] = MOD - invs[MOD % i] * (MOD / i) % MOD;
        fact_invs[i] = fact_invs[i - 1] * invs[i] % MOD;
    }
    (facts, fact_invs)
}

fn comb(n: usize, r: usize, facts: &Vec<usize>, fact_invs: &Vec<usize>) -> usize {
    facts[n] * fact_invs[r] % MOD * fact_invs[n-r] % MOD
}

fn main() {
    let mut nmk = String::new();
    std::io::stdin().read_line(&mut nmk).ok();
    let nmk: Vec<usize> = nmk.trim().split_whitespace().map(|s| s.parse().unwrap()).collect();
    let n = nmk[0];
    let m = nmk[1];
    let k = nmk[2];

    let mut perms = vec![1usize; n.max(m)+1];
    for i in 0..n.max(m) {
        perms[i+1] = perms[i] * (i+1) % MOD;
    }
    let (facts, fact_invs) = fact_inv(n+m+10);
    let mut result = 0usize;
    for i in 1..=n.min(m) {
        let total = n+m - 2*i;
        if total < k { continue; }
        result += perms[n-1] * perms[m] % MOD * comb(n, i, &facts, &fact_invs) % MOD * comb(m-1, i-1, &facts, &fact_invs) % MOD;
        result %= MOD;
    }
    println!("{}", result);
}