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You have a bag of N = 800 special imported coffee beans that you are putting in cups to distribute to your friends. The beans are placed at random in the cups. Call S(m) the entropy of the coffee beans when they are distributed between m cups. What is ?S = S(25) - S(5), the difference in entropy between when there are 25 cups and when there are 5 cups? Give your answer to three digits. Of course, the entropy has no units, so you don't have to worry about units in your answer.

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