Question: Given a sequence of numbers a_1, a_2, ..., a_n, we say that the sequence has an inversion if there are indices i, j such that

Given a sequence of numbers a_1, a_2, ..., a_n, we say

Given a sequence of numbers a_1, a_2, ..., a_n, we say that the sequence has an inversion if there are indices i, j such that i a_j. For example, the sequence 3, 8, 2, 5 has several inversions. What are they? What kinds of sequences have no inversions? have the maximum number of inversions

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