#include using namespace std; const int MOD = ( int ) 1e9 + 7; const int MAXN = 5000; int fact[ MAXN + 1 ]; int N; int A[ MAXN ]; int cnt[ MAXN ]; int dp[ MAXN + 1 ]; // i bad pairs -> combination, not considering other signed main(){ { for( int i = fact[ 0 ] = 1; i <= MAXN; ++i ){ fact[ i ] = 1LL * fact[ i - 1 ] * i % MOD; } } ios::sync_with_stdio( 0 ); cin >> N; for( int i = 0; i < N; ++i ){ cin >> A[ i ]; ++cnt[ A[ i ] ]; } dp[ 0 ] = 1; for( int i = 0; i < N; ++i ){ for( int j = N - 1; j >= 0; --j ){ ( dp[ j + 1 ] += 1LL * cnt[ i ] * dp[ j ] % MOD ) %= MOD; } } int ans = 0; for( int i = 0; i <= N; ++i ){ ( ans += 1LL * ( i & 1 ? - 1 : 1 ) * dp[ i ] * fact[ N - i ] % MOD ) %= MOD; } if( ans < 0 ) ans += MOD; cout << ans << endl; return 0; }