And previously what units did Feynman say entropy has? Why do you ignore this simple question? Oh yes, because it would show that you are lying again.The logarithm of that number of ways is the entropy.
Notice that Feynman does not use Boltzmann's constant. He assigns no physical units to this kind of entropy, just a number (a logarithm.)
But it is nice of you to point out that Morowitz makes the same error that you do.