#include <bits/stdc++.h>
using namespace std;
int diff(int a, int b) {
  a ^= b;
  int ans = 0;
  while (a) {
    ans += a & 1;
    a >>= 1;
  }
  return ans;
}
int tableDiff[128][128];
int diff2(int a, int b) {
  return tableDiff[a >> 7][b >> 7] + tableDiff[a & 127][b & 127];
}
int main() {
  ios_base::sync_with_stdio(false);
  for (int i = 0; i < 128; ++i) {
    for (int j = 0; j < 128; ++j) {
      tableDiff[i][j] = diff(i, j);
    }
  }
  int n, k;
  cin >> n >> k;
  map<int, long long int> ar;
  for (int i = 0; i < n; ++i) {
    int a;
    cin >> a;
    ar[a]++;
  }
  long long int ans = 0;
  if (k == 0) {
    for (map<int, long long int>::iterator it = ar.begin(); it != ar.end();
         ++it) {
      ans += it->second * (it->second - 1) / 2;
    }
  } else {
    map<int, long long int>::iterator nxt = ++ar.begin();
    for (map<int, long long int>::iterator it = ar.begin(); it != ar.end();
         ++it) {
      for (map<int, long long int>::iterator it2 = nxt; it2 != ar.end();
           ++it2) {
        if (diff2(it->first, it2->first) == k) {
          ans += it->second * it2->second;
        }
      }
      ++nxt;
    }
  }
  cout << ans << endl;
}
