#pragma GCC target("avx")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include<stdio.h>

unsigned int N,M,cnt[4096],dp[4096];
int main(){
  scanf("%d %d\n",&N,&M);
  for(unsigned int i=0;i<N;++i){
    unsigned int a=0;
    for(unsigned int j=0;j<M;++j){
      char c;
      scanf("%c ",&c);
      a=a<<1|c&1;
    }
    cnt[a]++;
  }
  for(unsigned int i=0;i<12;++i)for(unsigned int j=0;j<4096;++j)if(j>>i&1)cnt[j^(1<<i)]+=cnt[j];
  dp[0]=1;
  for(unsigned int i=0;i<4096;++i){
    for(unsigned int j=0;j<12;++j){
      if(i>>j&1)continue;
      if(cnt[i]<=2*cnt[i|1<<j])dp[i|1<<j]+=dp[i];
    }
  }
  printf("%d\n",dp[(1<<M)-1]);
}