///*بِسْمِ اللَّهِ الرَّحْمَنِ الرَّحِيم*///

//#pragma GCC optimize("Ofast")
//#pragma GCC target("avx,avx2,fma")
//#pragma GCC optimization ("unroll-loops")

#include <bits/stdc++.h>
using namespace std;
#define ln '\n'
#define inp(x) scanf("%lld",&x)
#define inp2(a,b) scanf("%lld %lld",&a,&b)
#define sf scanf
#define pf printf

#define f0(i,b) for(int i=0;i<(b);i++)
#define f1(i,b) for(int i=1;i<=(b);i++)

#define MOD 1000000007
#define PI acos(-1)
#define ll long long int
typedef pair<int,int> pii;
typedef pair<ll, ll> pll;
#define pb push_back
#define F first
#define S second
#define sz size()
#define LCM(a,b) (a*(b/__gcd(a,b)))
//#define harmonic(n) 0.57721566490153286060651209+log(n)+1.0/(2*n)
#define SORT_UNIQUE(c) (sort(c.begin(),c.end()), c.resize(distance(c.begin(),unique(c.begin(),c.end()))))
#define all(v) v.begin(),v.end()
#define MEM(a, b) memset(a, b, sizeof(a))

#define fastio ios_base::sync_with_stdio(false)

///Inline functions

inline bool EQ(double a, double b)
{
    return fabs(a-b) < 1e-9;
}
//inline bool isLeapYearll year) { return (year%400==0) | (year%4==0 && year%100!=0); }
inline void normal(ll &a)
{
    a %= MOD;
    (a < 0) && (a += MOD);
}
inline ll modMul(ll a, ll b)
{
    a %= MOD, b %= MOD;
    normal(a), normal(b);
    return (a*b)%MOD;
}
inline ll modAdd(ll a, ll b)
{
    a %= MOD, b %= MOD;
    normal(a), normal(b);
    return (a+b)%MOD;
}
inline ll modSub(ll a, ll b)
{
    a %= MOD, b %= MOD;
    normal(a), normal(b);
    a -= b;
    normal(a);
    return a;
}
inline ll modPow(ll b, ll p)
{
    ll r = 1;
    while(p)
    {
        if(p&1)
            r = modMul(r, b);
        b = modMul(b, b);
        p >>= 1;
    }
    return r;
}
inline ll modInverse(ll a)
{
    return modPow(a, MOD-2);
}
inline ll modDiv(ll a, ll b)
{
    return modMul(a, modInverse(b));
}
inline bool isInside(pii p,ll n,ll m)
{
    return (p.first>=0&&p.first<n&&p.second>=0&&p.second<m);
}
inline bool isInside(pii p,ll n)
{
    return (p.first>=0&&p.first<n&&p.second>=0&&p.second<n);
}
inline bool isSquare(ll x)
{
    ll s = sqrt(x);
    return (s*s==x);
}
inline bool isFib(ll x)
{
    return isSquare(5*x*x+4)|| isSquare(5*x*x-4);
}
inline bool isPowerOfTwo(ll x)
{
    return ((1LL<<(ll)log2(x))==x);
}


/// DEBUG --------------------------------------------------------------------------------->>>>>>

///**
template < typename F, typename S >
ostream& operator << ( ostream& os, const pair< F, S > & p )
{
    return os << "(" << p.first << ", " << p.second << ")";
}

template < typename T >
ostream &operator << ( ostream & os, const vector< T > &v )
{
    os << "{";
    for (auto it = v.begin(); it != v.end(); ++it)
    {
        if ( it != v.begin() )
            os << ", ";
        os << *it;
    }
    return os << "}";
}

template < typename T >
ostream &operator << ( ostream & os, const set< T > &v )
{
    os << "[";
    for (auto it = v.begin(); it != v.end(); ++it)
    {
        if ( it != v.begin())
            os << ", ";
        os << *it;
    }
    return os << "]";
}

template < typename F, typename S >
ostream &operator << ( ostream & os, const map< F, S > &v )
{
    os << "[";
    for (auto it = v.begin(); it != v.end(); ++it)
    {
        if ( it != v.begin() )
            os << ", ";
        os << it -> first << " = " << it -> second ;
    }
    return os << "]";
}

#define dbg(args...) do {cerr << #args << " : "; faltu(args); } while(0)

clock_t tStart = clock();
#define timeStamp dbg("Execution Time: ", (double)(clock() - tStart)/CLOCKS_PER_SEC)

void faltu ()
{
    cerr << endl;
}

template <typename T>
void faltu( T a[], int n )
{
    for (int i = 0; i < n; ++i)
        cerr << a[i] << ' ';
    cerr << endl;
}

template <typename T, typename ... hello>
void faltu( T arg, const hello &... rest)
{
    cerr << arg << ' ';
    faltu(rest...);
}

/// TEMPLATE ----------------------------------------------------------------------->>>>>>


struct func
{
//this is a sample overloading function for sorting stl
    bool operator()(pii const &a, pii const &b)
    {
        if(a.F==b.F)
            return (a.S<b.S);
        return (a.F<b.F);
    }
};
/*------------------------------Graph Moves----------------------------*/
//Rotation: S -> E -> N -> W
//const int fx[] = {0, +1, 0, -1};
//const int fy[] = {-1, 0, +1, 0};
//const int fx[]={+0,+0,+1,-1,-1,+1,-1,+1};   // Kings Move
//const int fy[]={-1,+1,+0,+0,+1,+1,-1,-1};  // Kings Move
//const int fx[]={-2, -2, -1, -1,  1,  1,  2,  2};  // Knights Move
//const int fy[]={-1,  1, -2,  2, -2,  2, -1,  1}; // Knights Move
/*---------------------------------------------------------------------*/

/// Bit Operations
/// count set bit C = (num * 0x200040008001ULL & 0x111111111111111ULL) % 0xf; /// 32 bit integer
inline bool checkBit(ll n, int i)
{
    return n&(1LL<<i);
}
/// inline ll setBit(ll n, int i) { return n|(1LL<<i); }
inline ll resetBit(ll n, int i)
{
    return n&(~(1LL<<i));
}


/// ************************************** Code starts here ****************************************** */

const ll INF = 0x3f3f3f3f3f3f3f3f;
const long double EPS = 1e-9;
const int inf = 0x3f3f3f3f;
const int mx = (int)1e5+9;

ll n,m,a,b,t,i,j,d,cs=0,counT=0,k,ans=0,l=0,sum1=0,sum=0,Max,Min,num;

char arr[9][9];
char brr[9][9];
void copy_array()
{
    for(int i=0; i<n; i++)
    {
        for(int j=0; j<m; j++)
            brr[i][j]=arr[i][j];
    }
}
void color(int row,int col)
{
    for(int x=0; x<n; x++)
    {
        if(checkBit(row,x))
        {
            for(int y=0; y<m; y++)
                brr[x][y] = '$';
        }
    }

    for(int x=0; x<m; x++)
    {
        if(checkBit(col,x))
        {
            for(int y=0; y<n; y++)
                brr[y][x] = '$';
        }
    }

}
int check()
{
    counT = 0 ;
    f0(i,n)
    f0(j,m)
    if(brr[i][j]=='#')
        counT++;
    return (counT==k?1:0);
}
int main()
{
    //  freopen("in.txt","r",stdin);
    fastio;

    cin >> n >> m >> k ;
    for(int i=0; i<n; i++)
    {
        for(int j=0; j<m; j++)
            cin>>arr[i][j];
    }

    ans = 0 ;
    for(i=0; i<(1<<n); i++)
    {
        for(j=0; j<(1<<m); j++)
        {
            copy_array();
            color(i,j);
            if(check())
                ans++;
        }
    }

    cout << ans << ln ;
}


Measured memory_bytes: 3588