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Permutations of ordered set where only one object changes its position.

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Is there a quick way to get all possible permutations where we put one object at all position, while keeping the order of all other objects?
As an examle, consider {A,B,C}.
  1. Change position of A: ABC, BAC, BCA
  2. Change position of B: ACB [BAC, ABC both done in 1.]
  3. Change position of C: CAB [ACB, ABC, done in 1. and 2.]

Accepted Answer

David Goodmanson
David Goodmanson on 15 Apr 2021
Hi Michael,
no there is not. CBA is a permutation, and it cannot be made to fit the pattern.

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