MOD = 10**9 + 7 def main(): import sys input = sys.stdin.read data = input().split() N = int(data[0]) A = list(map(int, data[1:N+1])) from collections import defaultdict freq = defaultdict(int) for x in A: freq[x] += 1 D = list(freq.keys()) m = len(D) max_k = m f = [0] * (max_k + 1) f[0] = 1 for x in D: c = freq[x] for k in range(max_k, 0, -1): f[k] = (f[k] + f[k-1] * c) % MOD fact = [1] * (N + 1) for i in range(1, N + 1): fact[i] = fact[i-1] * i % MOD ans = 0 for k in range(0, m + 1): sign = 1 if k % 2 == 0 else -1 term = sign * f[k] * fact[N - k] term %= MOD ans = (ans + term) % MOD print(ans % MOD) if __name__ == "__main__": main()