#include<bits/stdc++.h>
using namespace std;

// macros
#define int long long 
#define ll long long 
#define TIME clock() * 1.0 / CLOCKS_PER_SEC
#define all(c) c.begin(), c.end()
#define PB push_back
#define MP make_pair
#define bitcount __builtin_popcount
#define watch(x) cerr<< (#x) << " is " << (x) <<"\n";
#define sz(x) ((int)((x).size()))
#define UNIQUE(c) (c).resize(unique(all(c)) - (c).begin())
#define pii2ll(p) ((ll)(p).first<<32 | (p).second)

string to_string(const string& s) {
  return '"' + s + '"';
}
 
string to_string(const char* s) {
  return to_string((string) s);
}
 
string to_string(bool b) {
  return (b ? "1" : "0");
}
 
string to_string(vector<bool> v) {
	bool first = true;
	string res = "{";
	for (int i = 0; i < static_cast<int>(v.size()); i++) {
		if (!first) {
			res += ", ";
		}
		first = false;
		res += to_string(v[i]);
	}
	res += "}";
	return res;
}
 
template <size_t N>
string to_string(bitset<N> v) {
	string res = "";
	for (size_t i = 0; i < N; i++) {
		res += static_cast<char>('0' + v[i]);
	}
	return res;
}
 
template <typename A>
string to_string(A v) {
	bool first = true;
	string res = "{";
	for (const auto &x : v) {
		if (!first) {
			res += ", ";
		}
		first = false;
		res += to_string(x);
	}
	res += "}";
	return res;
}
 
template <typename A, typename B>
string to_string(pair<A, B> p) {
	return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";
}
 
template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p) {
	return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ")";
}
 
template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p) {
    return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ", " + to_string(get<3>(p)) + ")";
}
 
void debug_out() { cerr << endl; }
 
template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
  cerr << " " << to_string(H);
  debug_out(T...);
}
 
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)

using vi = vector<int>;
using vvi = vector<vi >;
using pii = pair<int, int>;

template <typename T1, typename T2>
inline auto mini(T1 a, T2 b) { return (a < b ? a : b); }
template<typename T, typename... Args>
inline auto mini(T a, Args... args) { return mini(a, mini(args...)); }
template <typename T1, typename T2>
inline auto maxi(T1 a, T2 b) { return (a > b ? a : b); }
template<typename T, typename... Args>
inline auto maxi(T a, Args... args) { return maxi(a, maxi(args...)); }
template<typename T>
T gcd(T a, T b) { if(a==0 or b==0) return a+b; return gcd(b, a%b) ; }
template<typename T>
T lcm(T a, T b) { if(a==0 or b==0) return 0; return a/gcd(a, b)*b; }

// random number generation
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); // use mt19937_64 for 64 bit

// constants
const long double eps = LDBL_EPSILON;
const int inf = 1e15;
const int modn = 1e9+7;
const int maxn = 2e5+3;

int32_t main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    // Your code here
	int h, w, k;
	cin >> h >> w >> k;
	vector<string> a(h);
	for(int i = 0; i < h; i++) {
		cin >> a[i];
	}
	int ans = 0;
	for(int i = 0; i < (1 << h); i++) {
		for(int j = 0; j < (1 << w); j++) {
			vi row, col;
			for(int ii = 0; ii < h; ii++) {
				if((i >> ii) & 1) {
					row.push_back(ii);
				}
			}
			for(int jj = 0; jj < w; jj++) {
				if((j >> jj) & 1) {
					col.push_back(jj);
				}
			}
			vector<string> b = a;
			for(int r : row) {
				for(int c = 0; c < w; c++) {
					b[r][c] = '%';
				}
			}
			for(int c : col) {
				for(int r = 0; r < h; r++) {
					b[r][c] = '%';
				}
			}
			int cnt = 0;
			for(int r = 0; r < h; r++) {
				for(int c = 0; c < w; c++) {
					if(b[r][c] == '#') {
						cnt++;
					}
				}
			}
			if(cnt == k) ans++;
		}
	}
	cout << ans << "\n";
    return 0;
}

Measured memory_bytes: 3648