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Let A be a random permutation of [1,2,3,4,5,6,7,8]. Determine the probability that exactly 12 comparisons are required by Merge Sort to sort the input array

Let A be a random permutation of [1,2,3,4,5,6,7,8]. Determine the probability that exactly 12 comparisons are required by Merge Sort to sort the input array A. Clearly and carefully justify your answer.

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