# include <bits/stdc++.h>
# define rep(i, n) for(int i=0, i##_len=(n); i<i##_len; ++i)
# define reps(i, n) for(int i=1, i##_len=(n); i<=i##_len; ++i)
# define rrep(i, n) for(int i=((int)(n)-1); i>=0; --i)
# define rreps(i, n) for(int i=((int)(n)); i>0; --i)
# define range_for(i, b, e) for(int i=(b), i##_len=(e); i<i##_len; ++i)
# define step(n) rep(_, n)
# define ALL(x) (x).begin(), (x).end()
# define RALL(x) (x).rbegin(), (x).rend()
# define Unique(a) a.erase(unique(ALL(a)), a.end())
# define pb push_back
# define len(x) ((int)(x).size())
# define optimize_cin() cin.tie(0); ios::sync_with_stdio(false)
# define debug(x) std::cerr<<#x<<": "<<(x)<<endl;
# define LINT_MAX (LLONG_MAX)
# define LINT_MIN (LLONG_MIN)
# define cauto const auto
# define int long long
# define float long double
using namespace std;
template <class Type> inline constexpr Type Square(Type x) { return x * x; }
template <class Type> inline constexpr bool InRange(const Type& x, const Type& fst, const Type& lst) { return (fst <= x) && (x < lst); }
template<class Integer>bool chmax(Integer &a, const Integer &b) { if (a<b) { a=b; return 1; } return 0; }
template<class Integer>bool chmin(Integer &a, const Integer &b) { if (b<a) { a=b; return 1; } return 0; }
template<class Integer>bool IsOdd(Integer &n) { return n & 1; }
template<class Integer>bool IsEven(Integer &n) { return !(n & 1); }
long long gcd(long long a, long long b) { while(b){ long long A = a; (a = b), (b = A % b); } return a; }
long long lcm(long long a, long long b) { return a / gcd(a, b) * b; }
int ctoi(const char c) { return ('0' <= c && c <= '9') ? (c - '0') : -1; }
string YesNo(bool b) { return b ? "Yes" : "No"; }
string YESNO(bool b) { return b ? "YES" : "NO"; }
string yesno(bool b) { return b ? "yes" : "no"; }
void _cin(){} template <class Head, class... Tail> void _cin(Head&& head, Tail&&... tail){ cin >> head; _cin(forward<Tail>(tail)...); }
#define Cin(Type, ...) Type __VA_ARGS__; _cin(__VA_ARGS__)
#define Cinv(Type, xs, n) vector<Type> xs(n); rep(i, n) cin >> xs[i]
#define Cinv2(Type, xs, ys, n) vector<Type> xs(n), ys(n); rep(i, n) cin >> xs[i] >> ys[i]
#define Cinv3(Type, xs, ys, zs, n) vector<Type> xs(n), ys(n), zs(n); rep(i, n) cin >> xs[i] >> ys[i] >> zs[i]
#define Cinvv(Type, xs, h, w) vector<vector<Type>> xs(h, vector<int>(w)); rep(i, h) rep(j, w) cin >> xs[i][j]
void Print() { cout << endl; }
template <class Head, class... Tail> void Print(Head&& head, Tail&&... tail) { cout << head; if (sizeof...(tail) != 0) cout << " "; Print(forward<Tail>(tail)...); }
template <class Type> void Print(vector<Type> &vec) { for (auto& a : vec) { cout << a; if (&a != &vec.back()) cout << " "; } cout << endl; }
template <class Type> void Print(vector<vector<Type>> &df) { for (auto& vec : df) { Print(vec); } }
void Debug() { cerr << endl; }
template <class Head, class... Tail> void Debug(Head&& head, Tail&&... tail) { cerr << head; if (sizeof...(tail) != 0) cerr << " "; Debug(forward<Tail>(tail)...); }
template <class Type> void Debug(vector<Type> &vec) { for (auto& a : vec) { cerr << a; if (&a != &vec.back()) cerr << " "; } cerr << endl; }
template <class Type> void Debug(vector<vector<Type>> &df) { for (auto& vec : df) { Debug(vec); } }

int H, W, K;

vector<string> Draw(vector<string> c, const vector<int>& h, const vector<int>& w)
{
    rep (i, len(h))
    {
        rep (x, W)
        {
            c[h[i]][x] = 'x';
        }
    }

    rep (i, len(w))
    {
        rep (y, H)
        {
            c[y][w[i]] = 'x';
        }
    }

    return c;
}

signed main()
{
    cin >> H >> W >> K;
    vector<string> c(H);
    rep (i, H) cin >> c[i];

    Debug(H, W, K);
    rep (i, H) Debug(c[i]);

    int ans = 0;
    for (int bit = 0; bit < (1<<H); ++bit)
    {
        vector<int> s;
        for (int y = 0; y < H; ++y)
        {
            if (bit & (1<<y))
            {
                s.pb(y);
            }
        }

        for (int bit2 = 0; bit2 < (1<<W); ++bit2)
        {
            vector<int> t;
            for (int x = 0; x < W; ++x)
            {
                if (bit2 & (1<<x))
                {
                    t.pb(x);
                }
            }

            vector<string> tmp = Draw(c, s, t);
            int sum = 0;
            rep (i, H) sum += count(ALL(tmp[i]), '#');
            if (sum == K) ans++;
        }
    }


    Print(ans);

    return 0;
}



Measured memory_bytes: 3636