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SOLVED: A binary heap is called a max heap if it has the property that for every node i other than the root, the value of the node is at most the value of its parent.Let P be a permutation of the first 7 positive integers. Sometimes this permutation is a max heap; examples include [7,6,5,4,3,2,1], [7,6,4,2,5,1,3], [7,5,6,2,4,3,1], and [7,3,6,2,1,4,5].If P is a randomly-chosen permutation of [1,2,3,4,5,6,7], determine the probability that it is a max heap. Clearly and carefully justify your answe

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