#!/usr/bin/ python3.8 import sys read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline readlines = sys.stdin.buffer.readlines import numpy as np MOD = 10 ** 9 + 7 def cumprod(A, MOD=MOD): L = len(A) Lsq = int(L**.5 + 1) A = np.resize(A, Lsq**2).reshape(Lsq, Lsq) for n in range(1, Lsq): A[:, n] *= A[:, n - 1] A[:, n] %= MOD for n in range(1, Lsq): A[n] *= A[n - 1, -1] A[n] %= MOD return A.ravel()[:L] def make_fact(U, MOD=MOD): x = np.arange(U, dtype=np.int64) x[0] = 1 fact = cumprod(x, MOD) x = np.arange(U, 0, -1, dtype=np.int64) x[0] = pow(int(fact[-1]), MOD - 2, MOD) fact_inv = cumprod(x, MOD)[::-1] fact.flags.writeable = False fact_inv.flags.writeable = False return fact, fact_inv N, *A = map(int, read().split()) counter = [0] * 5000 for x in A: counter[x] += 1 # 選ぶ人数 -> まともな包除ルールの選び方 dp = np.zeros(N + 1, np.int64) dp[0] = 1 for x in counter[:N]: dp[1:] += dp[:-1] * x dp %= MOD fact, fact_inv = make_fact(N + 1) dp *= fact[::-1] dp[1::2] *= (-1) answer = (dp % MOD).sum() % MOD print(answer)