#include <bits/stdc++.h>
using namespace std;
#pragma comment(linker, "/STACK:1024000000,1024000000")
const int MaxK = 14;
const int MaxVal = 100 * 1000;
int popCount[1 << MaxK];
long long num[MaxVal + 5];
void pop_count() {
  for (int i = (1 << MaxK) - 1; i >= 0; i--)
    popCount[i] = __builtin_popcount(i);
}
long long calcKIntresting(int k) {
  long long ans = 0;
  if (k == 0) {
    for (int i = 0; i <= MaxVal; i++) ans += (num[i] * (num[i] - 1)) / 2;
    return ans;
  }
  pop_count();
  for (int i = 0; i <= MaxVal; i++)
    if (num[i])
      for (int j = 0; j <= MaxVal; j++)
        if (num[j])
          if (popCount[i ^ j] == k) ans += num[i] * num[j];
  return ans / 2;
}
int main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  int n, k;
  cin >> n >> k;
  memset(num, 0, sizeof(num));
  for (int i = 0; i < n; i++) {
    int t;
    cin >> t;
    num[t]++;
  }
  cout << calcKIntresting(k) << endl;
  return 0;
}
