// Problem: 11_D. A Simple Task
// Time complexity: np
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.io.BufferedWriter;
import java.io.Writer;
import java.io.OutputStreamWriter;
import java.util.InputMismatchException;
import java.io.IOException;
import java.io.InputStream;
/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author Alex
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        OutputWriter out = new OutputWriter(outputStream);
        TaskD solver = new TaskD();
        solver.solve(1, in, out);
        out.close();
    }
    static class TaskD {
        int n;
        boolean[][] adj;
        long[] mem;
        int start;
        long cycles(int cur, int visited) {
            if (cur == start && visited > 0) {
                return Integer.bitCount(visited) >= 3 ? 1 : 0;
            }
            int index = visited * n + cur;
            if (mem[index] != -1) return mem[index];
            long res = 0;
            int newvisited = visited | (1 << cur);
            for (int nxt = 0; nxt < n; nxt++)
                if (adj[cur][nxt]) {
                    if (nxt >= start && (nxt == start || ((visited >> nxt) & 1) == 0)) {
                        res += cycles(nxt, newvisited);
                    }
                }
            return mem[index] = res;
        }
        public void solve(int testNumber, InputReader in, OutputWriter out) {
            n = in.readInt();
            int m = in.readInt();
            mem = new long[n * (1 << n)];
            adj = new boolean[n][n];
            for (int i = 0; i < m; i++) {
                int a = in.readInt() - 1, b = in.readInt() - 1;
                adj[a][b] = true;
                adj[b][a] = true;
            }
            long res = 0;
            for (int start = 0; start < n; start++) {
                Arrays.fill(mem, -1);
                this.start = start;
                res += cycles(start, 0) / 2;
            }
            out.printLine(res);
        }
    }
    static class OutputWriter {
        private final PrintWriter writer;
        public OutputWriter(OutputStream outputStream) {
            writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
        }
        public OutputWriter(Writer writer) {
            this.writer = new PrintWriter(writer);
        }
        public void close() {
            writer.close();
        }
        public void printLine(long i) {
            writer.println(i);
        }
    }
    static class InputReader {
        private InputStream stream;
        private byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;
        private InputReader.SpaceCharFilter filter;
        public InputReader(InputStream stream) {
            this.stream = stream;
        }
        public int read() {
            if (numChars == -1)
                throw new InputMismatchException();
            if (curChar >= numChars) {
                curChar = 0;
                try {
                    numChars = stream.read(buf);
                } catch (IOException e) {
                    throw new InputMismatchException();
                }
                if (numChars <= 0)
                    return -1;
            }
            return buf[curChar++];
        }
        public int readInt() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            int res = 0;
            do {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            } while (!isSpaceChar(c));
            return res * sgn;
        }
        public boolean isSpaceChar(int c) {
            if (filter != null)
                return filter.isSpaceChar(c);
            return isWhitespace(c);
        }
        public static boolean isWhitespace(int c) {
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }
        public interface SpaceCharFilter {
            public boolean isSpaceChar(int ch);
        }
    }
}