Question: 1. Let A[0..n-1] be an array of n integer numbers. Assume that all the numbers are distinct. In the array, a pair of two numbers

1. Let A[0..n-1] be an array of n integer numbers. Assume that all the numbers are distinct. In the array, a pair of two numbers (A[i], A[j]) is called an inversion if i < j and A[i] > A[j].

(a) Assume that the array size is 3. What is the largest number of inversions possible in the array? Present a sample array with 3 integer values and describe your answer clearly.

(b) Similarly, answer the same question for an array with 5 integer values.

(c) Based on your answers to the question (a) and (b), what is the largest number of inversions in the general array with n elements?

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