#include<bits/stdc++.h>
#pragma optimize ("g",on)
#pragma GCC optimize ("inline")
#pragma GCC optimize ("Ofast")
#pragma GCC optimize ("unroll-loops")
#pragma GCC optimize ("03")
#pragma GCC target ("sse,sse2,sse3,ssse3,sse4,popcnt,abm,avx2,mmx,fma,avx,tune=native")
#pragma comment(linker, "/stack:200000000")
//01001101 01100001 01101011 01101000 01100001 01100111 01100001 01111001
using namespace std;
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define ll long long
#define pb push_back
#define sz(a) a.size()
#define nl '\n'
#define popb pop_back()
#define ld double
#define ull unsigned long long
#define ff first
#define ss second
#define fix fixed << setprecision
#define pii pair<int, int>
#define E exit (0)
#define int long long
const int inf = 1e15, N = 1e6, mod = 998244353;
double eps = 1e-6;
vector<pii> dir = {{1, 0}, {0, 1}, {-1, 0}, {0, -1}};
bool can[(1 << 10)][10][10];
vector<int> h[10][10];
main() {
//freopen("F.in", "r", stdin);
//freopen("F.out", "w", stdout);
ios_base::sync_with_stdio(NULL);
cin.tie(NULL);
int n, m;
cin >> n >> m;
vector<int> adj[n];
for (int i = 1; i <= m; i++) {
int u, v;
cin >> u >> v;
u--, v--;
adj[u].pb(v);
adj[v].pb(u);
}
for (int i = 0; i < n; i++) {
can[(1 << i)][i][i] = 1;
}
for (int mask = 1; mask < (1 << n); mask++) {
for (int s = 0; s < n; s++) {
if (!(mask >> s & 1)) continue;
for (int f = 0; f < n; f++) {
if (!(mask >> f & 1) || f == s) continue;
for (auto e: adj[f]) {
if (!(mask >> e & 1)) continue;
can[mask][s][f] |= can[mask ^ (1 << f)][s][e];
}
if (can[mask][s][f]) {
h[s][f].pb(mask);
}
}
}
}
int ans = 0;
for (int s = 0; s < n; s++) {
for (int c = 0; c < n; c++) {
for (int f = 0; f < n; f++) {
if (f == c || f == s || s == c) continue;
bool ok = 0;
for (auto a: h[s][c]) {
for (auto b: h[c][f]) {
if ((a & b) == (1 << c)) ok = 1;
if (ok) break;
}
if (ok) break;
}
ans += ok;
}
}
}
cout << ans;
}
