MOD = 10 ** 9 + 7
N,M,K = map(int,input().split())
if N < M:
    M,N = N,M
    
fact = [1]*(N+1)
rfact = [1]*(N+1)
r = 1
for i in range(1, N+1):
    fact[i] = r = r * i % MOD
rfact[N] = r = pow(fact[N], MOD-2, MOD)
for i in range(N, 0, -1):
    rfact[i-1] = r = r * i % MOD

# nCk (mod MOD) を求める
def comb(n, k):
    return fact[n] * rfact[k] * rfact[n-k] % MOD

tmp = 0
for i in range(1,M+1):
    if N + M - 2 * i >= K:
        tmp += comb(N,i) * comb(M-1,i-1)
        tmp %= MOD

ans = tmp * fact[N-1] * fact[M]
ans %= MOD
print(ans)