#![allow(unused_imports)]
#![allow(non_snake_case)]
use std::cmp::*;
use std::collections::*;
use std::io::Write;

#[allow(unused_macros)]
macro_rules! debug {
    ($($e:expr),*) => {
        #[cfg(debug_assertions)]
        $({
            let (e, mut err) = (stringify!($e), std::io::stderr());
            writeln!(err, "{} = {:?}", e, $e).unwrap()
        })*
    };
}

fn main() {
    let v = read_vec::<usize>();
    let (n, k) = (v[0], v[1]);
    let v = read_vec::<usize>();
    if k >= 11 {
        println!("0");
        return;
    }
    let mut dp = vec![HashMap::new(); k + 1];
    dp[0].insert(0, 1);
    for num in v {
        for i in (0..k).rev() {
            let mut added = vec![];
            for &elem in dp[i].keys() {
                if elem & num == 0 && (elem ^ num).count_ones() as usize <= 10 - (k - i) {
                    added.push(elem ^ num);
                }
            }
            for anum in added {
                *dp[i + 1].entry(anum).or_insert(0) += 1;
                //*dp[i + 1].entry(anum).or_insert(0) %= 998244353;
            }
        }
    }
    let ans = dp[k].values().sum::<i64>();
    println!("{}", ans);
}

fn read<T: std::str::FromStr>() -> T {
    let mut s = String::new();
    std::io::stdin().read_line(&mut s).ok();
    s.trim().parse().ok().unwrap()
}

fn read_vec<T: std::str::FromStr>() -> Vec<T> {
    read::<String>()
        .split_whitespace()
        .map(|e| e.parse().ok().unwrap())
        .collect()
}