permutation

Specific sequence variation

A permutation is an arrangement of items in a particular order, or the act of rearranging them.

In mathematics, it refers specifically to the number of ways a set of things can be ordered: The letters A, B, and C have six permutations.

More broadly, permutation describes any of the possible variations or forms something can take: We've tried every permutation of the lineup.

The word emphasizes that order matters—the same elements arranged differently count as different permutations.

shuffle

scramble

Mix into disorder

  • randomizeIntroduce disorder systematically
  • jumbleConfused disorderly collection
  • mixCombine different elements

reorder · rearrange · disorder · reshuffle · anagram · interchange · swap · transpose · shift · rotate

mathematics

factorial

Descending multiplication of integers

cycle · parity · inversion · group · symmetry · enumeration · algorithm · identity · mapping · isomorphism

transformation

change

To make different

reconfiguration · variation · mutation · shift · revision · reworking · adaptation · conversion · reshaping · reformulation

arrangement

order

Methodical arrangement or request

sequence · pattern · placement · positioning · distribution · alignment · array · disposition · setup · organization

combination

lock

Mechanism requiring a key

  • safeFree from peril
  • codeSymbolic communication system
  • cipherHidden writing system

PIN · unlock · dial · password · digits · sequence · combination lock · keypad · vault · security

Categories
Opposites
arrangement variability

permutationinvariance

Quality of staying unchanged

fixed position · stasis · fixity · constancy · permanence

selection type (combinatorics)

permutationcombination

Joining of multiple elements

subset · set · selection · grouping

change vs. stability

permutationconstancy

Unchanging faithfulness over time

permanence · fixity · immutability · stability · invariance

Family

permutations

Familiarity
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