use proconio::input;
use proconio::fastout;

const MOD: usize = 1_000_000_007;

fn ncr(n: usize, r: usize) -> usize {
    let mut ret = 1;
    for i in n-r+1..=n {
        ret *= i;
        ret %= MOD;
    }
    for i in 1..=r {
        ret *= pow(i, MOD-2);
        ret %= MOD;
    }
    return ret;
}

fn pow(mut x: usize, mut k: usize) -> usize {
    let mut ret = 1;
    while k > 0 {
        if k & 1 > 0 {
            ret *= x;
            ret %= MOD;
        }
        x = x * x;
        x %= MOD;
        k >>= 1;
    }
    return ret;
}

#[fastout]
#[allow(non_snake_case)]
fn main() {
    input! {
        (H, W, M): (usize, usize, usize),
    }
    if H + W - 1 > M {
        println!("0");
    }
    else {
        println!("{}", ncr(H+W-2, H-1) * ncr(M, H+W-1) % MOD * pow(M, H*W-H-W+1) % MOD);
    }
}