#include <bits/stdc++.h>
using namespace std;
typedef signed long long ll;

#define _P(...) (void)printf(__VA_ARGS__)
#define FOR(x,to) for(x=0;x<(to);x++)
#define FORR(x,arr) for(auto& x:arr)
#define FORR2(x,y,arr) for(auto& [x,y]:arr)
#define ALL(a) (a.begin()),(a.end())
#define ZERO(a) memset(a,0,sizeof(a))
#define MINUS(a) memset(a,0xff,sizeof(a))
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(a>b){a=b;return 1;}return 0;}
//-------------------------------------------------------

int N,M;
int C[1<<12];
ll dp[1<<12];

void solve() {
	int i,j,k,l,r,x,y; string s;
	
	cin>>N>>M;
	FOR(i,N) {
		x=0;
		FOR(j,M) {
			cin>>y;
			x=x*2+y;
		}
		C[x]++;
	}
	
	dp[0]=1;
	int mask,mask2;
	FOR(mask,1<<M) if(dp[mask]) {
		FOR(j,M) if((mask&(1<<j))==0) {
			int win=0,lose=0;
			FOR(mask2,1<<M) if((mask&mask2)==mask) {
				if(mask2&(1<<j)) win+=C[mask2];
				else win-=C[mask2];
			}
			if(win>=0) dp[mask|(1<<j)]+=dp[mask];
		}
	}
	cout<<dp[(1<<M)-1]<<endl;
}


int main(int argc,char** argv){
	string s;int i;
	if(argc==1) ios::sync_with_stdio(false), cin.tie(0);
	FOR(i,argc-1) s+=argv[i+1],s+='\n'; FOR(i,s.size()) ungetc(s[s.size()-1-i],stdin);
	cout.tie(0); solve(); return 0;
}