import sys from collections import defaultdict, Counter, deque from itertools import permutations, combinations, product, combinations_with_replacement, groupby, accumulate import operator from math import sqrt, gcd, factorial # from math import isqrt, prod,comb # python3.8用(notpypy) #from bisect import bisect_left,bisect_right #from functools import lru_cache,reduce #from heapq import heappush,heappop,heapify,heappushpop,heapreplace #import numpy as np #import networkx as nx #from networkx.utils import UnionFind #from numba import njit, b1, i1, i4, i8, f8 #from scipy.sparse import csr_matrix #from scipy.sparse.csgraph import shortest_path, floyd_warshall, dijkstra, bellman_ford, johnson, NegativeCycleError # numba例 @njit(i1(i4[:], i8[:, :]),cache=True) 引数i4配列、i8 2次元配列,戻り値i1 def input(): return sys.stdin.readline().rstrip() def divceil(n, k): return 1+(n-1)//k # n/kの切り上げを返す def yn(hantei, yes='Yes', no='No'): print(yes if hantei else no) def check(s, n, m): return len(set(ss % n for ss in s)) == len(set(ss//n for ss in s)) == len(s) def main(): mod = 10**9+7 mod2 = 998244353 n, m, k = map(int, input().split()) ans = 0 ass = 1 for i in range(k): ass *= n*m-i ass //= i+1 print(ass) assert ass <= 12*10**4 for choose in combinations(range(n*m), k): if check(choose, n, m): continue if any(check(cc, n, m) for cc in combinations(choose, k-1)): continue for cc in combinations(choose, k-2): if check(cc, n, m): ans += 1 break print(ans) if __name__ == '__main__': main()