import sys import math import bisect from heapq import heapify, heappop, heappush from collections import deque, defaultdict, Counter from functools import lru_cache from itertools import accumulate, combinations, permutations, product sys.set_int_max_str_digits(10 ** 6) sys.setrecursionlimit(1000000) MOD = 10 ** 9 + 7 MOD99 = 998244353 input = lambda: sys.stdin.readline().strip() NI = lambda: int(input()) NMI = lambda: map(int, input().split()) NLI = lambda: list(NMI()) SI = lambda: input() SMI = lambda: input().split() SLI = lambda: list(SMI()) EI = lambda m: [NLI() for _ in range(m)] def main(): N = NI() C = [0] * N for _ in range(N): C[NI()] += 1 # dp[i]: i個以上NG dp = [0] * (N+1) dp[0] = 1 for i in range(N): for j in range(N-1, -1, -1): dp[j+1] += dp[j] * C[i] % MOD dp[j+1] %= MOD fac = [1] * (N+1) for i in range(1, N+1): fac[i] = fac[i-1] * i % MOD ans = 0 for i in range(N+1): ans += dp[i] * fac[N-i] * (-1)**(i%2) % MOD ans %= MOD print(ans % MOD) if __name__ == "__main__": main()