Definition of permutation in English:

permutation

noun

  • 1Each of several possible ways in which a set or number of things can be ordered or arranged.

    ‘his thoughts raced ahead to fifty different permutations of what he must do’
    • ‘Many other permutations of the alternatives presented are certainly possible.’
    • ‘With so many different home loan permutations and cost factors to be taken into consideration, it's not surprising that many buyers are bewildered.’
    • ‘Old insights are merely recycled in different permutations against a backdrop of current circumstances.’
    • ‘Clearly, the possible number of permutations is gigantic.’
    • ‘One example he gives is the number of permutations possible with 59 objects - only slightly more than a deck of cards.’
    • ‘This procedure was repeated for 10 random permutations of trajectory orders.’
    • ‘There are 16 different permutations for a possible World Series matchup this season.’
    • ‘Some of these parameters change rapidly, others very slowly, and the possible permutations are nearly infinite.’
    • ‘With this scenario, the fragmented delegate count produces several possible permutations.’
    • ‘In effect, each row is a permutation of four distinct numbers.’
    • ‘This procedure is repeated until all possible permutations of experimental conditions to the data have been calculated.’
    • ‘Now, since we're considering order, each of these combinations has a number of permutations.’
    • ‘The possible permutations of the final four are intriguing.’
    • ‘How does the counter generate the correct permutation of the binary numerals?’
    • ‘The possible permutations of ordering the seven stamps determined the need for 42 collages.’
    • ‘For example, there are six permutations of order of appearance for the three evolutionary splits mentioned above.’
    • ‘Ideally, we would list all possible permutations of the ESP matrix.’
    • ‘I have seen the slogan in a hundred different permutations.’
    • ‘Other permutations of the five cards can give different values for the longest increasing subsequence.’
    • ‘We will give a proof here, independent of Wilson's theorem, that all permutations are possible.’
    temperament, nature, character, constitution, make-up, grain, humour, temper, mentality, turn of mind
    arrangement, order, grouping, disposition, presentation, sorting, organization, combination, variation, transformation, transposition
    View synonyms
    1. 1.1Mathematics mass noun The action of changing the arrangement, especially the linear order, of a set of items.
      • ‘The statistical significance of this test is calculated by permutation.’
      • ‘Chromosome-wide significance thresholds were determined by permutation as previously described.’
      • ‘The statistical significance of the values was estimated by permutation analysis using 1,000 replications.’
      • ‘A simple position permutation was also used to generate random sequences.’
      • ‘All significance thresholds were determined empirically by permutation’
    2. 1.2British A selection of a specified number of matches in a football pool.

Origin

Late Middle English (in the sense ‘exchange, barter’): via Old French from Latin permutatio(n-), from the verb permutare ‘change completely’ (see permute).

Pronunciation

permutation

/pəːmjʊˈteɪʃ(ə)n/