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

M = 1<<m
dp = [None]*M
dp[0] = [1]*n
cnt = [0]*M
cnt[0] = n
for i in range(m):
    for j in range(1<<i):
        v = 0
        ndp = [0]*n
        for k in range(n):
            if dp[j][k] & res[i][k]:
                v += 1
                ndp[k] = 1
        dp[(1<<i)+j] = ndp
        cnt[(1<<i)+j] = v

ans = [0]*M
ans[0] = 1
for mask in range(M):
    for i in range(m):
        if mask>>i&1: continue
        nmask = mask|(1<<i)
        if cnt[mask] <= 2*cnt[nmask]:
            ans[nmask] += ans[mask]
print(ans[-1])