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

//conversion    gzRdXQG'3w#;UX4b
//------------------------------------------
inline int toInt(string s) {int v; istringstream sin(s);sin>>v;return v;}
template<class T> inline string toString(T x) {ostringstream sout;sout<<x;return sout.str();}

//math
//-------------------------------------------
template<class T> inline T sqr(T x) {return x*x;}

//typedef
//------------------------------------------
typedef long long LL;
typedef pair<int, int> PII;
typedef pair<LL,LL> PLL;
typedef vector<int> VI;
typedef vector<VI> VVI;
typedef vector<LL> VLL;
typedef vector<VLL> VVLL;
typedef vector<bool> VB;
typedef vector<VB> VVB;
typedef vector<double> VD;
typedef vector<VD> VVD;
typedef vector<string> VS;
typedef vector<VS> VVS;
typedef vector<char> VC;
typedef vector<VC> VVC;
typedef vector<PII> VPII;
typedef vector<PLL> VPLL;
typedef priority_queue<int> PQGI; //大きい順
typedef priority_queue<int, VI, greater<int>> PQLI;
typedef priority_queue<PII> PQGP;
typedef priority_queue<PII, VPII, greater<int>> PQLP;

//container util
//------------------------------------------
#define ALL(a)  (a).begin(),(a).end()
#define RALL(a) (a).rbegin(),(a).rend()
#define EB emplace_back
#define PB push_back
#define PF push_front
#define POB pop_back
#define POF pop_front
#define MP make_pair
#define SZ(a) int((a).size())
#define SQ(a) ((a)*(a))
#define EACH(i,c) for(typeof((c).begin()) i=(c).begin(); i!=(c).end(); ++i)
#define EXIST(s,e) ((s).find(e)!=(s).end())
#define SORT(c) sort((c).begin(),(c).end())
#define SORTR(c) sort((c).rbegin(), (c).rend())
#define LB lower_bound
#define UB upper_bound
#define NEXP next_permutation
#define FI first
#define SE second
#define Vmin(a) *min_element((a).begin(),(a).end())
#define Vmax(a) *max_element((a).begin(),(a).end())

//repetition
//------------------------------------------
#define FOR(i,a,b) for(int i=(a);i<(b);++i)
#define REP(i,n)  FOR(i,0,n)
#define FORR(i,a,b) for(int i = (b-1);i>=a;i--)
#define REPR(i,n) FORR(i,0,n)
#define BFOR(bit,a,b) for(int bit = (a); bit < (1<<(b)); ++bit)
#define BREP(bit,n) BFOR(bit,0,n)

//constant
//--------------------------------------------
const double EPS = 1e-10;
const double PI  = acos(-1.0);
const int INF = INT_MAX/2;
const LL LINF = LLONG_MAX/3;
const int RINF = INT_MIN/2;
const LL RLINF = LLONG_MIN/3;
const LL MOD = 1e9+7;
const LL MODD = 998244353;
const int MAX = 510000;

inline bool Eq(double a, double b) { return fabs(b - a) < EPS; }

//other
//-------------------------------------------
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; }

#define COUT(x) cout << (x) << endl
#define COUT2(x,y) cout << (x) << " " << (y) << endl
#define COUT3(x,y,z) cout << (x) << " " << (y) << " " << (z) << endl
#define PR(x) cout << (x)
#define ENDL cout << endl
#define SPACE cout << " "
#define BC(x) __builtin_popcountll(x)

void cYes(){ COUT("Yes");exit(0); }
void cNo(){ COUT("No");exit(0); }
void cYES(){ COUT("YES");exit(0); }
void cNO(){ COUT("NO");exit(0); }
void cyes(){ COUT("yes");exit(0); }
void cno(){ COUT("no");exit(0); }
void cMINU(){ COUT(-1);exit(0); }
void cZERO(){ COUT(0);exit(0); }

VI dx = {1,0,-1,0,1,1,-1,-1};
VI dy = {0,1,0,-1,1,-1,1,-1};
VC dc = {'R','D','L','U'};
VS ds = {"R","D","L","U","RD","RU","LD","LU"};

LL Gcd(LL a, LL b) {return __gcd(a,b);}
LL Lcm(LL a, LL b) {return a/Gcd(a,b)*b;}
vector<vector<int>>adj(1e5+5);
vector<int> color(1e5+5,0);
vector<int> time_in, time_out;
int dfs_timer = 0;

void dfs(int v) {
    time_in[v] = dfs_timer++;
    color[v] = 1;
    for (int u : adj[v])
        if (color[u] == 0)
            dfs(u);
    color[v] = 2;
    time_out[v] = dfs_timer++;
}
int main() {

  cin.tie(0);
  ios::sync_with_stdio(false);  
  int h,w,k,b_c=0;
  cin>>h>>w>>k;
  char dp[h][w];
  for(int i=0;i<h;i++)
  {
    for(int j=0;j<w;j++)
    {
      cin>>dp[i][j];
      if(dp[i][j]=='#')b_c++;
    }
  }
  if(k>b_c)
  {
    cout<<0;return 0;
  }
  int x=pow(2,h),y=pow(2,w);
  int ans=0;
  for(int i=0;i<x;i++)
  {
    for(int j=0;j<y;j++)
    { 
      //int i=55,j=0;
      int count=0;
      vector<vector<bool>>vis(h,vector<bool>(w,false));
      for(int row=0;row<h;row++)
      { //cout<<(i>>row&1)<<endl;
        if((i>>row)&1)
        { 
          for(int col=0;col<w;col++)
          
          { 
            
            if(!vis[row][col])
            {
              vis[row][col]=true;
              if(dp[row][col]=='#'){count++;
               }

            }
          }
        }
      }
      for(int col=0;col<w;col++)
      {
        if(j>>col&1)
        { 
          for(int  row=0;row<h;row++)
          { if(!vis[row][col])
            {
              vis[row][col]=true;
              if(dp[row][col]=='#')count++;
            }
          }
        }
      }

      if(b_c-count==k)
      {
        ans++;//cout<<i<<" "<<j<<" "<<count<<endl;
      }




    }
  }
  cout<<ans<<endl;

}

Measured memory_bytes: 6312