
import math

def cmb(n, r):
    if n - r < r: r = n - r
    if r == 0: return 1
    if r == 1: return n

    numerator = [n - r + k + 1 for k in range(r)]
    denominator = [k + 1 for k in range(r)]

    for p in range(2,r+1):
        pivot = denominator[p - 1]
        if pivot > 1:
            offset = (n - r) % p
            for k in range(p-1,r,p):
                numerator[k - offset] /= pivot
                denominator[k] /= pivot

    result = 1
    for k in range(r):
        if numerator[k] > 1:
            result *= int(numerator[k])

    return result

N, M, K = map(int, input().rstrip().split(' '))

comb = cmb(N*M-2, K-2) % 1000000007

cost = 0
for d in range(1, N):
    cost += d * M**2 * (N - d) * comb
    cost %= 1000000007
for d in range(1, M):
    cost += d * N**2 * (M - d) * comb
    cost %= 1000000007
    
print(cost)
 import math math def cmb(n, r):
    if n - r < r: r = n - r
    if r == 0: return 1
    if r == 1: return n

    numerator = [n - r + k + 1 for k in range(r)]
    denominator = [k + 1 for k in range(r)]

    for p in range(2,r+1):
        pivot = denominator[p - 1]
        if pivot > 1:
            offset = (n - r) % p
            for k in range(p-1,r,p):
                numerator[k - offset] /= pivot
                denominator[k] /= pivot

    result = 1
    for k in range(r):
        if numerator[k] > 1:
            result *= int(numerator[k])

    return result cmb if n - r < r: r = n - r
     n - r < r n - r n r r if r == 0: return 1
     r == 0 r 0 if r == 1: return n

     r == 1 r 1 n - r + k + 1 for k in range(r) for k in range(r) k range(r) range r for k in range(r) n - r + k + 1 n - r + k n - r n r k 1 numerator = [n - r + k + 1 for k in range(r)] numerator [n - r + k + 1 for k in range(r)] k + 1 for k in range(r) for k in range(r) k range(r) range r for k in range(r) k + 1 k 1 denominator = [k + 1 for k in range(r)] denominator [k + 1 for k in range(r)] for p in range(2,r+1):
        pivot = denominator[p - 1]
        if pivot > 1:
            offset = (n - r) % p
            for k in range(p-1,r,p):
                numerator[k - offset] /= pivot
                denominator[k] /= pivot

     p range(2,r+1) range 2 r+1 r 1 pivot = denominator[p - 1] pivot denominator[p - 1] denominator p - 1 p 1 if pivot > 1:
            offset = (n - r) % p
            for k in range(p-1,r,p):
                numerator[k - offset] /= pivot
                denominator[k] /= pivot

     pivot > 1 pivot 1 offset = (n - r) % p offset (n - r) % p n - r n r p for k in range(p-1,r,p):
                numerator[k - offset] /= pivot
                denominator[k] /= pivot

     k range(p-1,r,p) range p-1 p 1 r p numerator[k - offset] /= pivot numerator[k - offset] numerator k - offset k offset pivot denominator[k] /= pivot denominator[k] denominator k pivot result = 1 result 1 for k in range(r):
        if numerator[k] > 1:
            result *= int(numerator[k])

     k range(r) range r if numerator[k] > 1:
            result *= int(numerator[k])

     numerator[k] > 1 numerator[k] numerator k 1 result *= int(numerator[k]) result int(numerator[k]) int numerator[k] numerator k return result result n n r r N, M, K = map(int, input().rstrip().split(' ')) N map(int, input().rstrip().split(' ')) map int input().rstrip().split(' ') ().rstrip().split ().rstrip() ().rstrip () input rstrip split ' ' M K comb = cmb(N*M-2, K-2) % 1000000007 comb cmb(N*M-2, K-2) % 1000000007 cmb(N*M-2, K-2) cmb N*M-2 N*M N M 2 K-2 K 2 1000000007 cost = 0 cost 0 for d in range(1, N):
    cost += d * M**2 * (N - d) * comb
    cost %= 1000000007 d range(1, N) range 1 N cost += d * M**2 * (N - d) * comb cost d * M**2 * (N - d) * comb d * M**2 * (N - d) d * M**2 d M**2 M 2 N - d N d comb cost %= 1000000007 cost 1000000007 for d in range(1, M):
    cost += d * N**2 * (M - d) * comb
    cost %= 1000000007
     d range(1, M) range 1 M cost += d * N**2 * (M - d) * comb cost d * N**2 * (M - d) * comb d * N**2 * (M - d) d * N**2 d N**2 N 2 M - d M d comb cost %= 1000000007 cost 1000000007 print(cost) print cost comb = cmb(N*M-2, K-2) % 1000000007 cmb(N*M-2, K-2) % 1000000007 comb N, M, K = map(int, input().rstrip().split(' ')) map(int, input().rstrip().split(' ')) N cost = 0 0 cost cost += d * M**2 * (N - d) * comb d * M**2 * (N - d) * comb cost cost += d * N**2 * (M - d) * comb d * N**2 * (M - d) * comb cost M, K = map(int, input().rstrip().split(' ')) map(int, input().rstrip().split(' ')) M cost %= 1000000007 1000000007 cost cost %= 1000000007 1000000007 cost def cmb(n, r):
    if n - r < r: r = n - r
    if r == 0: return 1
    if r == 1: return n

    numerator = [n - r + k + 1 for k in range(r)]
    denominator = [k + 1 for k in range(r)]

    for p in range(2,r+1):
        pivot = denominator[p - 1]
        if pivot > 1:
            offset = (n - r) % p
            for k in range(p-1,r,p):
                numerator[k - offset] /= pivot
                denominator[k] /= pivot

    result = 1
    for k in range(r):
        if numerator[k] > 1:
            result *= int(numerator[k])

    return result def cmb(n, r):
    if n - r < r: r = n - r
    if r == 0: return 1
    if r == 1: return n

    numerator = [n - r + k + 1 for k in range(r)]
    denominator = [k + 1 for k in range(r)]

    for p in range(2,r+1):
        pivot = denominator[p - 1]
        if pivot > 1:
            offset = (n - r) % p
            for k in range(p-1,r,p):
                numerator[k - offset] /= pivot
                denominator[k] /= pivot

    result = 1
    for k in range(r):
        if numerator[k] > 1:
            result *= int(numerator[k])

    return result cmb K = map(int, input().rstrip().split(' ')) map(int, input().rstrip().split(' ')) K

import math

def cmb(n, r):
    if n - r < r: r = n - r
    if r == 0: return 1
    if r == 1: return n

    numerator = [n - r + k + 1 for k in range(r)]
    denominator = [k + 1 for k in range(r)]

    for p in range(2,r+1):
        pivot = denominator[p - 1]
        if pivot > 1:
            offset = (n - r) % p
            for k in range(p-1,r,p):
                numerator[k - offset] /= pivot
                denominator[k] /= pivot

    result = 1
    for k in range(r):
        if numerator[k] > 1:
            result *= int(numerator[k])

    return result

N, M, K = map(int, input().rstrip().split(' '))

comb = cmb(N*M-2, K-2) % 1000000007

cost = 0
for d in range(1, N):
    cost += d * M**2 * (N - d) * comb
    cost %= 1000000007
for d in range(1, M):
    cost += d * N**2 * (M - d) * comb
    cost %= 1000000007
    
print(cost)

