#include<iostream> #include<cstdio> #include<iostream> #include<cstdio> #include<cstring> #include<string> #include<cctype> #include<cstdlib> #include<algorithm> #include<bitset> #include<vector> #include<list> #include<deque> #include<queue> #include<map> #include<set> #include<stack> #include<cmath> #include<sstream> #include<fstream> #include<iomanip> #include<ctime> #include<complex> #include<functional> #include<climits> #include<cassert> #include<iterator> #include<unordered_map> using namespace std; #define MOD 1000000007 #define MAX 5001 int cnt[MAX]; int n; vector<long long int> cn; int dp[MAX][MAX]; long long int k[MAX]; long long int ppow(long long int i, long long int j){ long long int r = 1LL; while (j){ if ((j & 1LL)){ r *= i; r %= MOD; } i *= i; i %= MOD; j >>= 1LL; } return r; } int main(){ scanf("%d", &n); k[0] = 1LL; for (int i = 1; i < MAX; i++){ k[i] = k[i - 1]; k[i] *= (long long int)(i); k[i] %= MOD; } for (int i = 0; i < n; i++){ int a; scanf("%d", &a); cnt[a]++; } int countt = 0; for (int i = 0; i < MAX; i++){ if (cnt[i]){ if (i >= n){ countt += cnt[i]; continue; } cn.push_back(cnt[i]); } } dp[0][0] = 1LL; for (int i = 0; i < cn.size(); i++){ for (int j = 0; j <= cn.size(); j++){ dp[i + 1][j+1] += (dp[i][j]*cn[i])%MOD; dp[i + 1][j] += dp[i][j]; dp[i + 1][j + 1] %= MOD; dp[i + 1][j] %= MOD; } } long long int ans = 0; for (int i = 0; i <= cn.size(); i++){ long long int g = 1LL; if (i % 2 == 1LL){ g = -1LL; } long long int way = dp[cn.size()][i] * k[n - i];// *ppow(k[n - i + countt - 1], MOD - 2); way %= MOD; if (g == -1){ ans += MOD - way; ans %= MOD; } else{ ans += way; ans %= MOD; } } //ans *= k[countt]; //ans %= MOD; printf("%lld\n",ans); return 0; return 0; }