#![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![vec![0i64; 1024]; k + 1];
    dp[0][0] = 1;
    for num in v {
        for i in (0..k).rev() {
            for prev in 0..1024 {
                let next = prev ^ num;
                if dp[i][prev] != 0
                    && prev & num == 0
                    && (next).count_ones() as usize <= 10 - (k - i)
                {
                    dp[i + 1][next] += dp[i][prev];
                }
            }
        }
    }
    let ans = dp[k].iter().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()
}