import sys

input = sys.stdin.buffer.readline

N, M = map(int, input().split())
S = tuple(tuple(map(int, input().split())) for _ in range(N))

dp = [0] * (1 << M)
alive = [[] for _ in range(1 << M)]
dp[0] = 1
alive[0] = list(range(N))
for b in range(1 << M):
    for i in range(M):
        if (b >> i) & 1:
            continue
        affirmative = sum(S[x][i] for x in alive[b])
        c = b | (1 << i)
        if affirmative >= len(alive[b]) - affirmative:
            dp[c] += dp[b]
        if not alive[c]:
            alive[c] = [x for x in alive[b] if S[x][i]]
print(dp[-1])