Using the nouns N = (dog, man, mouse, bird) and the verbs V = (bites, eats, kicks) how many sentences of the form are there, with the restriction that every word in the sentence has a different length? (For example, dog east mouse is such a sentence, but man bites dog is not, because it contains two words of length three.) Write Python for determining the number of possible sentences and demonstrate your result by constructing all the possible sentences.