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Home/ Questions/Q 3228760
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Editorial Team
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Editorial Team
Asked: May 17, 20262026-05-17T16:43:52+00:00 2026-05-17T16:43:52+00:00

I have been looking at various programming problems and algorithms in an effort to

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I have been looking at various programming problems and algorithms in an effort to improve my programming and problem solving skills. But, I keep running into description like this one:

“Let A = [a1,a2,…,an] be a permutation of integers 1,2,…,n. A pair of indices (i,j), 1<=i<=j<=n, is an inversion of the permutation A if ai>aj. We are given integers n>0 and k>=0. What is the number of n-element permutations containing exactly k inversions?”
(SOURCE: http://www.spoj.pl/problems/PERMUT1/)

What kind of math do I need to study in order for this sort of problem description to make sense to me?

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  1. Editorial Team
    Editorial Team
    2026-05-17T16:43:52+00:00Added an answer on May 17, 2026 at 4:43 pm

    I was in this sort of quandary about a month ago. Until I came about this post from Steve Yegge – Math for Programmers

    Very informative, highly recommended read. Hopefully after the read, you’ll get pointers to take it from there. All the best.

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