#include <iostream>
#include <sstream>
#include <iomanip>
#include <vector>
#include <string>
#include <map>
#include <set>
#include <algorithm>
#include <numeric>
#include <iterator>
#include <functional>
#include <complex>
#include <queue>
#include <stack>
#include <cmath>
#include <cassert>
#include <cstring>
using namespace std;
typedef long long LL;
typedef complex<double> CMP;

LL comb(LL n, LL k)
{
	k = min(k, n-k);

	LL c = 1;
	for(LL i=0; i<k; ++i)
		c *= n-i, c /= i+1;
	return c;
}

class TheQuestionsAndAnswersDivOne { public:
	int find(int questions, vector <string> answers) 
	{
		int Y = count(answers.begin(), answers.end(), string("Yes"));
		int N = count(answers.begin(), answers.end(), string( "No"));

		int cnt = 0;
		for(int y=0; y<=questions; ++y)
		{
			int n = questions - y;
			if( y<=Y && n<=N )
				cnt += distr(Y,y)*distr(N,n)*comb(questions, y);
		}
		return cnt;
	}

	int distr(int n, int k)
	{
		if( k <= 1 )
			return (k==1 || n==0&&k==0) ? 1 : 0;
		int sum = 0;
		for(int m=1; m<(1<<n); ++m) {
			int pop = 0;
			for(int i=1; i<=m; i<<=1)
				if(m&i)
					++pop;
			if( n-pop >= k-1 )
				sum += distr(n-pop, k-1);
		}
		return sum;
	}
};

// BEGIN CUT HERE
#include <ctime>
double start_time; string timer()
 { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
 { os << "{ ";
   for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
   os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
void verify_case(const int& Expected, const int& Received) {
 bool ok = (Expected == Received);
 if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
 cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
#define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
#define END	 verify_case(_, TheQuestionsAndAnswersDivOne().find(questions, answers));}
int main(){

CASE(0)
	int questions = 2; 
	string answers_[] = {"No", "Yes"};
	  vector <string> answers(answers_, answers_+sizeof(answers_)/sizeof(*answers_)); 
	int _ = 2; 
END
CASE(1)
	int questions = 2; 
	string answers_[] = {"No", "No", "No"};
	  vector <string> answers(answers_, answers_+sizeof(answers_)/sizeof(*answers_)); 
	int _ = 6; 
END
CASE(2)
	int questions = 3; 
	string answers_[] = {"Yes", "No", "No", "Yes"};
	  vector <string> answers(answers_, answers_+sizeof(answers_)/sizeof(*answers_)); 
	int _ = 12; 
END
CASE(3)
	int questions = 3; 
	string answers_[] = {"Yes", "Yes", "Yes", "No"};
	  vector <string> answers(answers_, answers_+sizeof(answers_)/sizeof(*answers_)); 
	int _ = 18; 
END
CASE(4)
	int questions = 2; 
	string answers_[] = {"Yes","Yes"};
	  vector <string> answers(answers_, answers_+sizeof(answers_)/sizeof(*answers_)); 
	int _ = 2; 
END
CASE(4)
	int questions = 2; 
	string answers_[] = {"No","No"};
	  vector <string> answers(answers_, answers_+sizeof(answers_)/sizeof(*answers_)); 
	int _ = 2; 
END
CASE(4)
	int questions = 2; 
	string answers_[] = {"Yes","No"};
	  vector <string> answers(answers_, answers_+sizeof(answers_)/sizeof(*answers_)); 
	int _ = 2; 
END
CASE(5)
	int questions = 7; 
	string answers_[] = {"Yes","Yes","Yes","Yes","Yes","Yes","Yes","Yes","Yes"};
	  vector <string> answers(answers_, answers_+sizeof(answers_)/sizeof(*answers_)); 
	int _ = 40320*9; 
END

}
// END CUT HERE
