# Definition of permutation in US English:

## permutation

### noun

• 1A way, especially one of several possible variations, 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’
• ‘Other permutations of the five cards can give different values for the longest increasing subsequence.’
• ‘Old insights are merely recycled in different permutations against a backdrop of current circumstances.’
• ‘Clearly, the possible number of permutations is gigantic.’
• ‘Now, since we're considering order, each of these combinations has a number of permutations.’
• ‘We will give a proof here, independent of Wilson's theorem, that all permutations are possible.’
• ‘This procedure was repeated for 10 random permutations of trajectory orders.’
• ‘With so many different home loan permutations and cost factors to be taken into consideration, it's not surprising that many buyers are bewildered.’
• ‘Some of these parameters change rapidly, others very slowly, and the possible permutations are nearly infinite.’
• ‘How does the counter generate the correct permutation of the binary numerals?’
• ‘The possible permutations of the final four are intriguing.’
• ‘This procedure is repeated until all possible permutations of experimental conditions to the data have been calculated.’
• ‘Many other permutations of the alternatives presented are certainly possible.’
• ‘In effect, each row is a permutation of four distinct numbers.’
• ‘There are 16 different permutations for a possible World Series matchup this season.’
• ‘I have seen the slogan in a hundred different permutations.’
• ‘For example, there are six permutations of order of appearance for the three evolutionary splits mentioned above.’
• ‘One example he gives is the number of permutations possible with 59 objects - only slightly more than a deck of cards.’
• ‘Ideally, we would list all possible permutations of the ESP matrix.’
• ‘With this scenario, the fragmented delegate count produces several possible permutations.’
• ‘The possible permutations of ordering the seven stamps determined the need for 42 collages.’
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 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.’
• ‘All significance thresholds were determined empirically by permutation’
• ‘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.’
• ‘Chromosome-wide significance thresholds were determined by permutation as previously described.’

### Origin

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

## permutation

/ˌpərmyo͝oˈtāSH(ə)n//ˌpərmjʊˈteɪʃ(ə)n/