n,m,*R = map(int,open(0).read().split())
r = [int("".join(map(str,R[i::m])),2) for i in range(m)]

dp = [(1<<n)-1]
for i in range(m):
    dp += [x&r[i] for x in dp]
*c, = map(lambda s:bin(s).count("1"), dp)

M = 1<<m
A = [0]*M
A[0] = 1
for S in range(M):
    for i in range(m):
        T = S|1<<i
        if S>>i&1==0 and c[S] <= 2*c[T]:
            A[T] += A[S]
print(A[-1])