import sys

N,M,K = map(int,input().split())
P = 10 ** 9 + 7

if K == 1:
    if M > 1 or N > 1:
        print(0)
        exit()
    else:
        print(1)
        exit()
if K > N * M:
    print(0)
    exit()
    
C = K + 1
fact = [1] * C
fact_inv = [1] * C
for i in range(2,C):
    fact[i] = fact[i-1] * i % P
fact_inv[-1] = pow(fact[-1],P-2,P)
for i in range(C-2,0,-1):
    fact_inv[i] = fact_inv[i+1] * (i+1) % P
def comb(n,k):
    #if n < 0 or k < 0 or k > n:return 0
    return fact[n] * fact_inv[k] % P * fact_inv[n-k] % P





def seki(x,y):
    l = [[0] * 2 for _ in range(2)]
    """
    for i in range(2):
        for j in range(2):
            for k in range(2):
                l[i][j] = (l[i][j] + x[i][k] * y[k][j]) % P
    """
    l[0][0] = (x[0][0] * y[0][0]%P + x[0][1] * y[1][0]%P)%P
    l[0][1] = (x[0][0] * y[0][1]%P + x[0][1] * y[1][1]%P)%P
    l[1][0] = (x[1][0] * y[0][0]%P + x[1][1] * y[1][0]%P) %P
    l[1][1] = (x[1][0] * y[0][1]%P + x[1][1] * y[1][1]%P) % P
    return l

def f(k):
    if N == 1:
        return k * pow(k-1,M-1,P) % P
    if N == 2:
        return k * (k-1) * pow(k*k-3*k+3,M-1,P)%P
    """
    A = [[k * k - 3 * k + 3,k-1 + (k-2) * (k-3)],
         [2 * (k-2) * (k-2) + (k-2) * (k-3) * (k-3),2 * (k-2) * (k-2) + (k-3) * (k-3) * (k-3) + (k-2)*(k-3) + (k-3) * (k-3) * (k-4)]]
    """
    A = [[3 + k * (-3 + k)%P,5 + k * (-4 + k)%P],
         [-10 + k * (13 + k * (-6 + k)%P)%P,-13 + (14 + k * (-6 + k)%P) *k%P]]
    """
    for i in range(2):
        for j in range(2):
            A[i][j] %= P
    """
    tmp = [[1,0],
           [0,1]]
    a = k * (k-1) % P
    b = k * (k-1) %P * (k-2) % P
    #u = (M-1) % (P-1)
    u = M - 1
    while u:
        if u & 1:
            #tmp = seki(tmp,A)
            tmp[0][0],tmp[0][1],tmp[1][0],tmp[1][1] = (tmp[0][0] * A[0][0]%P + tmp[0][1]*A[1][0]%P)%P,(tmp[0][0]*A[0][1]%P+tmp[0][1]*A[1][1]%P)%P,(tmp[1][0]*A[0][0]%P+tmp[1][1]*A[1][0]%P)%P,(tmp[1][0]*A[0][1]%P+tmp[1][1]*A[1][1]%P)%P
        #A = seki(A,A)
        A[0][0],A[0][1],A[1][0],A[1][1] = (A[0][0]*A[0][0]%P+A[0][1]*A[1][0]%P)%P,(A[0][0]*A[0][1]%P+A[0][1]*A[1][1]%P)%P,(A[1][0]*A[0][0]%P+A[1][1]*A[1][0]%P)%P,(A[1][0]*A[0][1]%P+A[1][1]*A[1][1]%P)%P
        u >>= 1
    ans =((tmp[0][0] * a % P  + tmp[0][1] * b % P)%P  + tmp[1][0] * a % P)%P + tmp[1][1] * b % P
    return ans % P

ans = 0
for i in range(K-1):
    if i % 2 == 0:
        c = 1
    else:
        c = -1
    #tmp = c * comb(K,i) * f(K-i)
    tmp = c * fact[K] * fact_inv[i]%P*fact_inv[K-i]%P*f(K-i)%P
    ans = (ans + tmp) % P
print(ans)