#include <bits/stdc++.h>
#define rep(i, start, end) for (long long i = start; i < end; ++i)
#define repreverse(i, start, end) for (long long i = start; i >= end; --i)
#define all(x) (x).begin(), (x).end()
#define len(x) ((long long)(x).size())
#define lcm(a, b) ((a) / __gcd((a), (b)) * (b))
using namespace std;
using ll = long long;
using ld = long double;
using vll = vector<ll>;
using vllvll = vector<vll>;
using pll = pair<ll, ll>;
template<class T>void print1d(T x,ll n=-1){if(n==-1)n=x.size();rep(i,0,n){cout<<x[i]<<' ';}cout<<'\n';}
template<class T>void print2d(T x,ll r=-1,ll c=-1){if(r==-1)r=x.size();if(c==-1)c=x[0].size();rep(i,0,r)print1d(x[i],c);}
template<class T, class U>bool haskey(T mp, U key) { return mp.find(key) != mp.end(); }
template<class T, class U>bool isin(T el, U container) { return find(all(container), el) != container.end(); }
template<class T>bool chmax(T& a, const T& b) { if (a < b) { a = b; return 1; } return 0; }
template<class T>bool chmin(T& a, const T& b) { if (b < a) { a = b; return 1; } return 0; }
template<class T>bool even(T n) { return ! (n & 1); }
template<class T>bool odd(T n) { return n & 1; }
template<class T>ld deg2rad(T deg) { return M_PI * deg / 180.0; }
template<class T>ld rad2deg(T rad) { return 180.0 * rad / M_PI; }
ll intpow(ll a,ll n){ll p=1;while(n){if(n&1)p*=a;a*=a;n>>=1;}return p;}
const long double pi = M_PI;
const long long big = 1LL << 50;
const long long inf = 1LL << 60;
const long long mod = 1e9 + 7;

ll H, W, K;
vector<vector<char> > grid(20, vector<char>('.'));

vector<vector<char> > cp()
{
        vector<vector<char> > c(20, vector<char>(20, '.'));
        rep(i, 0, H) rep(j, 0, W) c[i][j] = grid[i][j];
        return c;
}

void paintc(vector<vector<char> >& c, ll j)
{
        rep(row, 0, H) {
                c[row][j] = 'a';
        }


}

void paintr(vector<vector<char> >& c, ll i)
{
        
        rep(col, 0, W) {
                c[i][col] = 'a';
        }
}

ll cnt(vector<vector<char> >& c)
{
        ll res = 0;
        rep(i, 0, H) {
                rep(j, 0, W) {
                        if (c[i][j] == '#') ++res;
                }
        }
        return res;
}

int main()
{
        cin >> H >> W >> K;
        rep(i, 0, H) {
                rep(j, 0, W) {
                        cin >> grid[i][j];
                }
        }

        ll ans = 0;
        rep(bit1, 0, 1<<H) {
                vll choice1;
                rep(i, 0, H) {
                        if (bit1 & (1LL<<i)) {
                                choice1.push_back(i);
                        }
                }


                rep(bit2, 0, 1<<W) {
                        vll choice2;
                        rep(j, 0, W) {
                                if (bit2 & (1LL<<j)) {
                                        choice2.push_back(j);
                                }
                        }

                        auto c = cp();
                        for (auto x1 : choice1) {
                                        paintr(c, x1);
                         }


                                for (auto x2 : choice2) {
                                        paintc(c, x2);
                                 }

                        //print1d(choice1);
                       //print1d(choice2);
                        //cout << endl;

                        ll tmp = cnt(c);
                        if (tmp == K) {
                                ++ans;

                     //   print1d(choice1);
                       //print1d(choice2);
                        }




                }

        }
        cout << ans << endl;

}

Measured memory_bytes: 3632