def input_int():
    return int(input())

def input_ints():
    return list(map(int, input().split()))

N, M, K = input_ints()

MOD = 10 ** 9 + 7

fact = [None] * 202020
inv = [None] * 202020
ifact = [None] * 202020
fact[0] = 1
fact[1] = 1
ifact[0] = 1
ifact[1] = 1
inv[1] = 1

for i in range(2, len(fact)):
    inv[i] = -inv[MOD % i] * (MOD // i) % MOD
    fact[i] = i * fact[i - 1] % MOD
    ifact[i] = inv[i] * ifact[i - 1] % MOD

def C(n, r):
    if n < 0 or r < 0 or n < r: return 0
    return fact[n] * ifact[r] * ifact[n - r] % MOD

ans = 0
for i in range(201020):
    if N + M - (i + 1) * 2 >= K:
        ans += C(N - 1, i) * C(M - 1, i) * fact[N] * fact[M] * inv[i + 1]

print(ans % MOD)