#include<string>
#include<set>
#include<map>
#include<queue>
#include<stack>
#include<cmath>
#include<vector>
#include<iostream>
#include<algorithm>
#include<cstdio>
#include<cstring>
using namespace std;
#define LL long long
#define MOD 1000000007
#define MAXN 100050
#define INF 0x3f3f3f
#define register long long
LL read()
{
LL w = 1, x = 0;
char ch = 0;
while (ch < '0' || ch>'9')
{
if (ch == '-')
w = -1;
ch = getchar();
}
while (ch >= '0' && ch <= '9')
{
x = x * 10 + (ch - '0');
ch = getchar();
}
return w * x;
}
int n,k,ans;
string s[10];
int mp[10][10];
bool v[10][10],a[10],b[10];
void dfs(int x,int y,int sum)
{
if(sum==k)
{
ans++;
return ;
}
b[y]=1;
for(register int i=x+1;i<=n;i++)
{
for(register int j=1;j<=n;j++)
{
if(v[i][j]&&!b[j])
{
dfs(i,j,sum+1);
}
}
}
b[y]=0;
}
int main()
{
while(cin>>n>>k)
{
if(n==-1&&k==-1)
break ;
memset(mp,0,sizeof(mp));
memset(v,0,sizeof(v));
memset(a,0,sizeof(a));
memset(b,0,sizeof(b));
for(register int i=0;i<n;i++)
{
cin>>s[i];
}
for(register int i=0;i<n;i++)
{
for(register int j=0;j<n;j++)
{
if(s[i][j]=='#')
v[i+1][j+1]=1;
}
}
for(register int i=1;i<=n;i++)
{
for(register int j=1;j<=n;j++)
{
if(v[i][j])
{
dfs(i,j,1);
}
}
}
cout<<ans<<endl;
ans=0;
}
return 0;
}