import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.InputMismatchException;
import java.util.SortedMap;
import java.util.TreeMap;

/**
 * Created by Rakshit on 15/4/17.
 * Java is Love.. :)
 */

public class Kpairs {

    public static void main(String args[])
    {
        InputStream stream=System.in;
        OutputStream out1=System.out;
        InputReader in = new InputReader(stream);
        PrintWriter out=new PrintWriter(out1);
        Task solver=new Task();
        solver.solve(in,out);
    }

    static class Task
    {
        int n;
        int k;
        SortedMap<Integer,Integer>check=new TreeMap<>();
        int a[]=new int [11111];
        public void solve(InputReader in , PrintWriter out)
        {
             Integer c;
             n=in.nextInt();
             k=in.nextInt();

             for(int i=0;i<n;i++)
             {
                 c=in.nextInt();

                 if (check.containsKey(c))
                 {
                    check.put(c,check.get(c)+1);
                 }
                 else
                     check.put(c,1);
             }

             long res = 0;

             if (k!=0) {
                 for (int i = 0; i < 10003; i++) {
                     for (int j = i + 1; j < 10004; j++) {
                         if (Integer.bitCount(i ^ j) == k) {
                             if (check.containsKey(i) && check.containsKey(j)) {
                                 res += (long) (check.get(i)) * (long) (check.get(j));
                                 //        out.println(i+" "+j);
                             }
                         }
                     }
                 }
             }

             else
             {
                 for(int i=0;i < 10003 ;i++)
                 {
                     if (check.containsKey(i) && check.get(i) > 1)
                     {
                         long j = (long) (check.get(i));
                         res += (j)*(j-1)/2;
                     }
                 }
             }

             out.println(res);

             out.flush();
        }
    }

    static class InputReader {

        private final InputStream stream;
        private final byte[] buf = new byte[8192];
        private int curChar, snumChars;

        public InputReader(InputStream st) {
            this.stream = st;
        }

        public int read() {
            if (snumChars == -1)
                throw new InputMismatchException();
            if (curChar >= snumChars) {
                curChar = 0;
                try {
                    snumChars = stream.read(buf);
                } catch (IOException e) {
                    throw new InputMismatchException();
                }
                if (snumChars <= 0)
                    return -1;
            }
            return buf[curChar++];
        }

        public int nextInt() {
            int c = read();
            while (isSpaceChar(c)) {
                c = read();
            }
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            int res = 0;
            do {
                res *= 10;
                res += c - '0';
                c = read();
            } while (!isSpaceChar(c));
            return res * sgn;
        }

        public long nextLong() {
            int c = read();
            while (isSpaceChar(c)) {
                c = read();
            }
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            long res = 0;
            do {
                res *= 10;
                res += c - '0';
                c = read();
            } while (!isSpaceChar(c));
            return res * sgn;
        }

        public int[] nextIntArray(int n) {
            int a[] = new int[n];
            for (int i = 0; i < n; i++) {
                a[i] = nextInt();
            }
            return a;
        }

        public String readString() {
            int c = read();
            while (isSpaceChar(c)) {
                c = read();
            }
            StringBuilder res = new StringBuilder();
            do {
                res.appendCodePoint(c);
                c = read();
            } while (!isSpaceChar(c));
            return res.toString();
        }

        public String nextLine() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            StringBuilder res = new StringBuilder();
            do {
                res.appendCodePoint(c);
                c = read();
            } while (!isEndOfLine(c));
            return res.toString();
        }

        public boolean isSpaceChar(int c) {
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }

        private boolean isEndOfLine(int c) {
            return c == '\n' || c == '\r' || c == -1;
        }
    }
}