MOD = 998244353 N,K = map(int,input().split()) A = list(map(int,input().split())) N2 = 1024 D = [0] * N2 Q = set() for a in A: D[a] += 1 Q.add(a) if K > 10: print(0) Q2 = set() D2 = D[:] D3 = [0] * N2 tmp = 1 for i in range(K-1): tmp *= (i+1) D3 = [0] * N2 while Q: x = Q.pop() for j in range(1,N2): if x & j: continue D3[x | j] += D2[x] * D[j] D3[x | j] %= MOD Q2.add(x | j) D2 = D3 Q,Q2 = Q2,Q tmp *= K ans = sum(D2) % MOD ans *= pow(tmp,-1,MOD) ans %= MOD print(ans)