import sys
import numpy as np

read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

MOD = 1000000007

def cumprod(A, MOD=MOD):
    L = len(A)
    Lsq = int(L**.5 + 1)
    A = np.resize(A, Lsq**2).reshape(Lsq, Lsq)
    for n in range(1, Lsq):
        A[:, n] *= A[:, n - 1]
        A[:, n] %= MOD
    for n in range(1, Lsq):
        A[n] *= A[n - 1, -1]
        A[n] %= MOD
    return A.ravel()[:L]


def make_fact(U, MOD=MOD):
    x = np.arange(U, dtype=np.int64)
    x[0] = 1
    fact = cumprod(x, MOD)
    x = np.arange(U, 0, -1, dtype=np.int64)
    x[0] = pow(int(fact[-1]), MOD - 2, MOD)
    fact_inv = cumprod(x, MOD)[::-1]
    fact.flags.writeable = False
    fact_inv.flags.writeable = False
    return fact, fact_inv

N, M, K = map(int, read().split())

fact, fact_inv = make_fact(2 * 10 ** 5 + 10)

inv = np.zeros_like(fact)
inv[1:] = fact_inv[1:] * fact[:-1] % MOD

U = min(N, M)
x = fact[N-1] * fact[M-1] % MOD * fact[N] % MOD * fact[M] % MOD
x = x * fact_inv[:U] % MOD * fact_inv[1:U+1] % MOD
x = x * fact_inv[N-U:N][::-1] % MOD * fact_inv[M-U:M][::-1] % MOD

i = np.arange(1, U+1)
cond = N + M - 2 * i >= K
answer = (x * cond).sum() % MOD
print(answer)