n, m, k = map(int, input().split())
mod = 10**9 + 7


def nCr(n, r, MOD=10**9 + 7):
    from functools import reduce
    if r == 0:
        return 1
    num = reduce(lambda x, y: x * y % MOD, range(n, n - r, -1))
    den = reduce(lambda x, y: x * y % MOD, range(1, r + 1))
    return num * pow(den, MOD - 2, MOD) % MOD


ncr = nCr(n * m - 2, k - 2)
ans = 0
for d in range(1, m):
    temp = d * (m - d) * n**2
    temp %= mod
    ans += temp
    ans %= mod
for d in range(1, n):
    temp = d * (n - d) * m**2
    temp %= mod
    ans += temp
    ans %= mod
ans *= ncr
ans %= mod
print(ans) n, m, k = map(int, input().split()) n map(int, input().split()) map int input().split() ().split () input split m k mod = 10**9 + 7 mod 10**9 + 7 10**9 10 9 7 def nCr(n, r, MOD=10**9 + 7):
    from functools import reduce
    if r == 0:
        return 1
    num = reduce(lambda x, y: x * y % MOD, range(n, n - r, -1))
    den = reduce(lambda x, y: x * y % MOD, range(1, r + 1))
    return num * pow(den, MOD - 2, MOD) % MOD nCr from functools import reduce if r == 0:
        return 1
     r == 0 r 0 return 1 1 num = reduce(lambda x, y: x * y % MOD, range(n, n - r, -1)) num reduce(lambda x, y: x * y % MOD, range(n, n - r, -1)) reduce lambda x, y: x * y % MOD x * y % MOD x * y x y MOD x y range(n, n - r, -1) range n n - r n r -1 den = reduce(lambda x, y: x * y % MOD, range(1, r + 1)) den reduce(lambda x, y: x * y % MOD, range(1, r + 1)) reduce lambda x, y: x * y % MOD x * y % MOD x * y x y MOD x y range(1, r + 1) range 1 r + 1 r 1 return num * pow(den, MOD - 2, MOD) % MOD num * pow(den, MOD - 2, MOD) % MOD num * pow(den, MOD - 2, MOD) num pow(den, MOD - 2, MOD) pow den MOD - 2 MOD 2 MOD MOD n n r r MOD=10**9 + 7 MOD 10**9 + 7 10**9 10 9 7 ncr = nCr(n * m - 2, k - 2) ncr nCr(n * m - 2, k - 2) nCr n * m - 2 n * m n m 2 k - 2 k 2 ans = 0 ans 0 for d in range(1, m):
    temp = d * (m - d) * n**2
    temp %= mod
    ans += temp
    ans %= mod d range(1, m) range 1 m temp = d * (m - d) * n**2 temp d * (m - d) * n**2 d * (m - d) d m - d m d n**2 n 2 temp %= mod temp mod ans += temp ans temp ans %= mod ans mod for d in range(1, n):
    temp = d * (n - d) * m**2
    temp %= mod
    ans += temp
    ans %= mod d range(1, n) range 1 n temp = d * (n - d) * m**2 temp d * (n - d) * m**2 d * (n - d) d n - d n d m**2 m 2 temp %= mod temp mod ans += temp ans temp ans %= mod ans mod ans *= ncr ans ncr ans %= mod ans mod print(ans) print ans n, m, k = map(int, input().split()) map(int, input().split()) n mod = 10**9 + 7 10**9 + 7 mod ans = 0 0 ans temp %= mod mod temp ans *= ncr ncr ans ans += temp temp ans def nCr(n, r, MOD=10**9 + 7):
    from functools import reduce
    if r == 0:
        return 1
    num = reduce(lambda x, y: x * y % MOD, range(n, n - r, -1))
    den = reduce(lambda x, y: x * y % MOD, range(1, r + 1))
    return num * pow(den, MOD - 2, MOD) % MOD def nCr(n, r, MOD=10**9 + 7):
    from functools import reduce
    if r == 0:
        return 1
    num = reduce(lambda x, y: x * y % MOD, range(n, n - r, -1))
    den = reduce(lambda x, y: x * y % MOD, range(1, r + 1))
    return num * pow(den, MOD - 2, MOD) % MOD nCr temp = d * (m - d) * n**2 d * (m - d) * n**2 temp temp %= mod mod temp ans %= mod mod ans ncr = nCr(n * m - 2, k - 2) nCr(n * m - 2, k - 2) ncr ans += temp temp ans ans %= mod mod ans temp = d * (n - d) * m**2 d * (n - d) * m**2 temp k = map(int, input().split()) map(int, input().split()) k ans %= mod mod ans m, k = map(int, input().split()) map(int, input().split()) m
n, m, k = map(int, input().split())
mod = 10**9 + 7


def nCr(n, r, MOD=10**9 + 7):
    from functools import reduce
    if r == 0:
        return 1
    num = reduce(lambda x, y: x * y % MOD, range(n, n - r, -1))
    den = reduce(lambda x, y: x * y % MOD, range(1, r + 1))
    return num * pow(den, MOD - 2, MOD) % MOD


ncr = nCr(n * m - 2, k - 2)
ans = 0
for d in range(1, m):
    temp = d * (m - d) * n**2
    temp %= mod
    ans += temp
    ans %= mod
for d in range(1, n):
    temp = d * (n - d) * m**2
    temp %= mod
    ans += temp
    ans %= mod
ans *= ncr
ans %= mod
print(ans)
