#include <bits/stdc++.h>
#include <unistd.h>
//#include <ext/pb_ds/assoc_container.hpp> // Common file
//#include <ext/pb_ds/tree_policy.hpp> // Including seg_tree_order_statistics_node_update
#include <stdio.h>
#include <cassert>
using namespace std;
//using namespace __gnu_pbds;
typedef int lo;
typedef long double ld;
#include <ctime>
typedef pair<lo, lo> ll; //pair
typedef vector<lo> vl;   //vector of long
typedef vector<ll> vll;  //vector of pair
typedef priority_queue<lo> p_q;
typedef vector<vl> vvl; //vector of vectors
#define X first
#define Y second
#define mp(a, b) make_pair((a), (b))
#define REP(a, b) for (lo i = (a); i < (lo)b; i++) //no need to declare variable i
#define REPE(a, b, c, d) REP(a, b) \
for (lo j = (c); j < (lo)d; j++)                        //no need to declare vaiables i,j
#define REPV(a, b, c) for (lo(a) = b; (a) < (c); (a)++) //a is the variable
#define IREP(a, b) for (lo i = (a); i >= (b); i--)
#define IREPV(a, b, c) for (lo(a) = b; (a) >= (c); (a)--)
#define correct(x, y, n, m) (0 <= (x) && (x) < (n) && 0 <= (y) && (y) < (m))
#define all(v) (v).begin(), (v).end()
#define TRV(a) for (auto &it : a)
#define INF 500010
#define MOD 1000000007
#define M 1000000007
#define BLOCK 300
#define CHECK_BIT(var, pos) ((var) & (1 << (pos)))
#define pb(a) push_back((a))
#define eps 1e-2
#define PI acos(-1.0)

#if _DEBUG
#define debug(x) cout << #x << "=" << x << endl
#define debug2(x, y) cout << #x << "=" << x << " " << #y << "=" << y << endl;
#define debug3(x, y, z) cout << #x << "=" << x << " " << #y << "=" << y << " " << #z << "=" << z << endl;
#define debug4(x, y, z, w) cout << #x << "=" << x << " " << #y << "=" << y << " " << #z << "=" << z << " " << #w << "=" << w << endl;
#define debug5(x, y, z, w, t)      \
    cout << #x << "=" << x << " "; \
    debug4(y, z, w, t);
#define debug6(p, x, y, z, w, t)                            \
    cout << #p << " " << p << " " << #x << "=" << x << " "; \
    debug4(y, z, w, t);
#define debug7(o, p, x, y, z, w, t) \
    cout << #o << " " << o << " ";  \
    debug6(p, x, y, z, w, t);
#define wait  \
    int xxxx; \
    cin >> xxxx;
#define derr(x) cerr << #x << "=" << x << endl;
#define derr2(x, y) cerr << #x << "=" << x << " " << #y << "=" << y << endl;
#define derr3(x, y, z) cerr << #x << "=" << x << " " << #y << "=" << y << " " << #z << "=" << z << endl;
#define derr4(x, y, z, w) cerr << #x << "=" << x << " " << #y << "=" << y << " " << #z << "=" << z << " " << #w << "=" << w << endl;
#define derr5(x, y, z, w, t)       \
    cerr << #x << "=" << x << " "; \
    derr4(y, z, w, t);
#define derr6(p, x, y, z, w, t)                             \
    cerr << #p << " " << p << " " << #x << "=" << x << " "; \
    derr4(y, z, w, t);
#define derr7(o, p, x, y, z, w, t) \
    cerr << #o << " " << o << " "; \
    derr6(p, x, y, z, w, t);
lo checkpoint_counter=0;
#define checkpoint cerr << "At checkpoint : " << checkpoint_counter++ << endl;

#else
#define debug(x) ;
#define debug2(x, y) ;
#define debug3(x, y, z) ;
#define debug4(x, y, z, q) ;
#define debug5(x, y, z, r, t) ;
#define debug6(x, y, z, r, t, s) ;
#define debug7(x, y, z, r, t, s, u) ;
#define wait ;
#define derr(x) ;
#define derr2(x, y) ;
#define derr3(x, y, z) ;
#define derr4(x, y, z, q) ;
#define derr5(x, y, z, r, t) ;
#define derr6(x, y, z, r, t, s) ;
#define derr7(x, y, z, r, t, f, u) ;
#define checkpoint ;
#endif

#define print_matrix(a, n, m) \
    REPE(0, n, 0, m) { cout << (a)[i][j] << ((j == m - 1) ? '\n' : ' '); }
#define present(container, element) (container.find(element) != container.end())
#define endl "\n"
#define add(a) accumulate(all(a), lo(0));
#define add(a, x) accumulate(all(a), x);
template <typename T>
ostream &operator<<(ostream &o, vector<T> v)
{
    if (v.size() > 0)
        o << v[0];
    for (unsigned i = 1; i < v.size(); i++)
        o << " " << v[i];
    return o << " ";
}
template <typename U, typename V>
ostream &operator<<(ostream &o, pair<U, V> p)
{
    return o << "(" << p.first << ", " << p.second << ") ";
}
template <typename T>
istream &operator>>(istream &in, vector<T> &v)
{
    for (unsigned i = 0; i < v.size(); i++)
        in >> v[i];
    return in;
}
template <typename T>
istream &operator>>(istream &in, pair<T, T> &p)
{
    in >> p.X;
    in >> p.Y;
    return in;
}
template <typename T>
ostream &operator<<(ostream &o, set<T> v)
{
    TRV(v)
        o << it << " ";
    return o << endl;
}
template <typename T, typename U>
ostream &operator<<(ostream &o, map<T, U> v)
{
    TRV(v)
        o << it << " ";
    return o << endl;
}
struct custom_hash
{
    static uint64_t splitmix64(uint64_t x)
    {
        // http://xorshift.di.unimi.it/splitmix64.c
        x += 0x9e3779b97f4a7c15;
        x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
        x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
        return x ^ (x >> 31);
    }

    size_t operator()(uint64_t x) const
    {
        static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
        return splitmix64(x + FIXED_RANDOM);
    }
};

lo gcdExtended(lo a, lo b, lo *x, lo *y); 
  
// Function to find modulo inverse of a 
lo modInverse(lo a, lo m) 
{ 
    lo x, y; 
    lo g = gcdExtended(a, m, &x, &y); 
    if (g != 1) 
        cout << "Inverse doesn't exist"; 
    else
    { 
        // m is added to handle negative x 
        lo res = (x%m + m) % m; 
        return res; 
    } 
} 
  
// C function for extended Euclidean Algorithm 
lo gcdExtended(lo a, lo b, lo *x, lo *y) 
{ 
    // Base Case 
    if (a == 0) 
    { 
        *x = 0, *y = 1; 
        return b; 
    } 
  
    lo x1, y1; // To store results of recursive call 
    lo gcd = gcdExtended(b%a, a, &x1, &y1); 
  
    // Update x and y using results of recursive 
    // call 
    *x = y1 - (b/a) * x1; 
    *y = x1; 
  
    return gcd; 
} 

lo dp[100001], inv[100001];

void fact(lo n){
    dp[0]=1;dp[1]=1;
    inv[0]=1;inv[1]=1;
    REP(2,100001){
        dp[i]=(dp[i-1]*i)%MOD;
        inv[i]=modInverse(dp[i],MOD);
    }
}

lo firstMissingPositive(vector<lo> A) {
    lo n = A.size();
    vl ch(n+1,0);
    REP(0,A.size()){
        ch[A[i]]=1;
    }
    REP(0,n+1)if(ch[i]==0)return i;
}

int main(){
    lo t;
    //cin>>t;
    t=1;
    while(t--){
        lo n,m,k;
        cin>>n>>m>>k;
        vl r(n,0), c(m,0);
        string s;
        lo tot=0,ans=0,arr[7][7];
        REP(0,n){
            cin>>s;
            REPV(j,0,m){
                if(s[j]=='#'){
                    arr[i][j]=1;
                    r[i]++;
                    c[j]++;
                }else arr[i][j]=0;
            }
        }
        lo se = (lo(1) << (n+m)) - 1;
        lo tem[7][7];
        for(lo j=se;1;j=(j-1)&se){
            //cout<<j<<endl;
            for(lo a=0;a<n;a++){
                for(lo b=0;b<m;b++){tem[a][b]=arr[a][b];}
            }
            
            lo rc=0,cc=0;
            for(lo i=0;i<n;i++){
                if(((lo(1)<<i)&j) != 0){
                    //cout<<i<<" ";
                    for(lo b=0;b<m;b++)tem[i][b]=0;
                }
            }
            //cout<<" * r"<<endl;
            for(lo i=n;i<n+m;i++){
                if(((lo(1)<<(i))&j) != 0){
                    //cout<<i-n<<" ";
                    for(lo a=0;a<n;a++)tem[a][i-n]=0;
                }
            }
            //cout<<" * c "<<endl;
            lo te=0;
            for(lo a=0;a<n;a++){
                for(lo b=0;b<m;b++){te+=tem[a][b];}
            }
            if(te==k){ans++;}
            if(j==0)break;
        }
        cout<<ans<<endl;
    }
    return 0;
}

Measured memory_bytes: 3616