#include "bits/stdc++.h"
using namespace std;
#define print(x) cout<<x<<endl;
#define rep(i,a,b) for(int i=a;i<b;i++)
#define REP(i,a) for(int i=0;i<a;i++)
#define printall(n,array) for(int i=0;i<n;i++){cout<<array[i]<<" ";}cout<<endl;
typedef long long ll;
typedef pair<int, int> PI;
typedef pair<int, PI> V;
typedef vector<int> VE;
const ll mod = 1000000007; //10^9+7

int binally_count(int n){
  string str(std::bitset<32>(n).to_string<char, std::char_traits<char>, std::allocator<char> >());
  int cnt=0;
  REP(i,32){
    if(str[i]=='1')cnt++;
  }
  return cnt;
}

ll nPn(int n){
  int sum=1;
  rep(i,1,n+1)sum*=i;
  return sum;
}

int bainary(ll x){
  int y,i,ans;
	ans=0;
	i=0;

	while (x>0)
	{
		y=x%2;
		ans=ans+y*pow(10,i);
		x=x/2;
		i+=1;
	}
	return ans;
}

bool check(ll a,ll b){
  string ab=to_string(bainary(a));
  string bb=to_string(bainary(b));
  while(ab.size()!=bb.size()){bb="0"+bb;}
  REP(i,ab.size()){
    if(ab[i]=='0'&&bb[i]=='1'){
      return false;
    }
  }
  return true;
}

int main(){
  int n,k;
  cin>>n>>k;
  ll a[61];
  REP(i,n)cin>>a[i];
  int ans=0;
  if(k==0){
    ans=nPn(n);
    print(ans);
    return 0;
  }
  sort(a,a+k);
  rep(i,1,k){
    if(check(a[i],a[i-1])==false){
      print(0);
      return 0;
    }
  }
  int pre_cnt=binally_count(a[0]);
  ans=nPn(pre_cnt);
  rep(i,1,k){
    int cnt=binally_count(a[i]);
    ans*=nPn(cnt-pre_cnt);
    pre_cnt=cnt;
  }
  print(ans);
}