using System;
using static System.Console;
using System.Linq;
using System.Collections.Generic;

class Program
{
    static int NN => int.Parse(ReadLine());
    static int[] NList => ReadLine().Split().Select(int.Parse).ToArray();
    static int[][] NArr(long n) => Enumerable.Repeat(0, (int)n).Select(_ => NList).ToArray();
    public static void Main()
    {
        Solve();
    }
    static void Solve()
    {
        var c = NList;
        var (n, m) = (c[0], c[1]);
        var map = NArr(n);
        var bitmax = 1 << m;
        var num = new int[bitmax];
        for (var i = 0; i < n; ++i)
        {
            var d = 0;
            for (var j = 0; j < m; ++j) d = d * 2 + map[i][j];
            ++num[d];
        }
        var num2 = new int[bitmax];
        for (var i = 0; i < bitmax; ++i) for (var j = 0; j < bitmax; ++j)
        {
            if ((i | j) == j) num2[i] += num[j];
        }
        var dp = new int[bitmax];
        dp[^1] = 1;
        for (var i = bitmax - 1; i > 0; --i)
        {
            for (var j = 0; j < m; ++j)
            {
                var next = i ^ (1 << j);
                if ((i | next) == i && num2[i] * 2 >= num2[next]) dp[next] += dp[i];
            }
        }
        WriteLine(dp[0]);
    }
}