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Using the nouns N = {man, dog, mouse, flea} and the verbs V = {bites, eats,...

Using the nouns N = {man, dog, mouse, flea} and the verbs V = {bites, eats, kicks}, how many "sentences" of the form noun verb noun are there, with the restriction that every word in the sentence has a different length? (For example, "man eats mouse" is such a sentence, but "dog bites man" is not, because it contains two words of length three.) Use a decision tree to arrive at your answer.

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