#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define MOD 1000000007 #define MAX 5003 long long int cnt[MAX]; int n; vector v; vector cn; long long int dp[MAX][MAX]; long long int k[MAX]; 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]++; } for (int i = 0; i < MAX; i++){ if (cnt[i]){ v.push_back(i); cn.push_back(cnt[i]); } } dp[0][0] = 1LL; for (int i = 0; i < v.size(); i++){ for (int j = 0; j <= i; j++){ dp[i + 1][j+1] += dp[i][j]*cn[i]; 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 <= v.size(); i++){ long long int g = 1LL; if (i % 2 == 1LL){ g = -1LL; } long long int way = dp[v.size()][i] * k[n - i]; way %= MOD; way *= g; while (way < 0){ way += MOD; } ans += way; ans %= MOD; } if (ans < 0){ return 1; } printf("%lld\n", ans); return 0; return 0; }