n,m = map(int,input().split())
r = [0]*m
for i in range(n):
    for j,rj in enumerate(map(int,input().split())):
        r[j] |= rj<<i

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

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