from functools import lru_cache
@lru_cache(maxsize=None)
def power(n):
	if n <= 1: return 1
	else: return power(n-1)*n


n, k = map(int, input().split())
list_of_list = list()
if k != 0:
	a_list = list(map(int, input().split()))
	for m in a_list:
		tmp = list(map(int, bin(m)[-1:1:-1]))
		tmp += [0]*(n-len(tmp))
		list_of_list.append(tmp)
list_of_list = sorted(list_of_list, key=lambda x: x.count(1))
list_of_list.append([1]*n)
num_power = 1
source = [0]*n
for _list in list_of_list:
	count = 0
	for i, j in zip(source, _list):
		if j-i < 0: print(0); exit()
		elif j-i == 1: count += 1
	source = _list
	num_power *= (power(count)%(10**9+7))
print(num_power%(10**9+7))