What are Applications where Counting configurations under permutation + cyclic shift with constrained block sampling would be useful?

Asher

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Jun 10, 2026
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Hi everyone, I have a question about math application and it wasn't appropriate for other math solving forums so I hope posting it here is alright.

I have a cyclic (ordered)set split into k partitions, with each partition containing q elements. We then perform 2 actions: permutating order of partitions, and translating elements clockwise n places such that any overflow moves to the next partition. We then pick p elements from each partition, finding number of such p subsets.

I wanna ask, can this model be used for in math or information processing application? Like what applications could this model?
Thanks!
 
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