How can it be possible for only 4 people to leave messages? Isn't this impossible because of the first rule, "at most one person left more than one message"? The video provides no explanation for why E is incorrect.
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Thanks for the question! It is actually possible for four people to leave messages. You can have a distribution where one person leaves three messages, three people leave one message, and two people leave no messages. And here, you can see that only one person left more than one message. You can’t have fewer than four people though, because of the second rule, that caps the number of messages at 3.
Hope this helps! Feel free to ask any other questions that you might have.