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  1. A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.[1]
  2. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor.[2]
  3. Read More on This Topic combinatorics: Binomial coefficients …n objects is called a permutation of n things taken r at a time.[2]
  4. indistinguishable permutations for each choice of k objects; hence dividing the permutation formula by k![2]
  5. In mathematics, a permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements.[3]
  6. This is related to the rearrangement of the elements of S in which each element s is replaced by the corresponding f(s).[3]
  7. The group operation is the composition (performing two given rearrangements in succession), which results in another rearrangement.[3]
  8. As a bijection from a set to itself, a permutation is a function that performs a rearrangement of a set, and is not a rearrangement itself.[3]
  9. Before we discuss permutations we are going to have a look at what the words combination means and permutation.[4]
  10. If the order doesn't matter then we have a combination, if the order does matter then we have a permutation.[4]
  11. Here’s an easy way to remember: permutation sounds complicated, doesn’t it?[5]
  12. You know, a "combination lock" should really be called a "permutation lock".[5]
  13. We’re using the fancy-pants term “permutation”, so we’re going to care about every last detail, including the order of each item.[5]
  14. Wait a minute… this is looking a bit like a permutation![5]
  15. To help you to remember, think "Permutation ...[6]
  16. A permutation, also called an "arrangement number" or "order," is a rearrangement of the elements of an ordered list into a one-to-one correspondence with itself.[7]
  17. Sedgewick (1977) summarizes a number of algorithms for generating permutations, and identifies the minimum change permutation algorithm of Heap (1963) to be generally the fastest (Skiena 1990, p. 10).[7]
  18. This is denoted , corresponding to the disjoint permutation cycles (2) and (143).[7]
  19. A permutation can be calculated by hand as well, where all the possible permutations are written out.[8]
  20. A simple approach to visualize a permutation is the number of ways a sequence of a three-digit keypad can be arranged.[8]
  21. Both permutation and combinations involve a group of numbers.[8]
  22. A permutation or combination is a set of ordered things.[9]
  23. If you do care about order, it’s a permutation.[9]
  24. Picking winners for a first, second and third place raffle is a permutation, because the order matters.[9]
  25. Permutation isn’t a word you use in everyday language.[9]
  26. Again, this is because order no longer matters, so the permutation equation needs to be reduced by the number of ways the players can be chosen,thenorthen, 2, or 2!.[10]
  27. It makes sense that there are fewer choices for a combination than a permutation, since the redundancies are being removed.[10]
  28. A permutation refers to an arrangement of elements.[11]
  29. Robinson and Schensted found a one to one correspondence between a permutation and a pair of standard Young tableaux of the same shape.[12]
  30. Given the permutation of (1, …, k) two standard Young tableaux P and Q of the same shape are constructed step by step according to a set of specified rules.[12]
  31. We start the tableaux P and Q by one box each, with 3 in the box of P and 1 in the box of Q corresponding to the first column entries in the permutation.[12]
  32. The simplest example of a permutation is the case where all objects need to be arranged, as the introduction did for a , b , c , d .[13]
  33. Since each permutation is an ordering, start with an empty ordering which consists of n n n positions in a line to be filled by the n n n objects.[13]
  34. A permutation is represented by an array of integers in the range 0 to , where each value occurs once and only once.[14]
  35. The application of a permutation to a vector yields a new vector where .[14]
  36. For example, the array represents a permutation which exchanges the last two elements of a four element vector.[14]
  37. A permutation is defined by a structure containing two components, the size of the permutation and a pointer to the permutation array.[14]
  38. If the function can determine the next higher permutation, it rearranges the elements as such and returns true .[15]
  39. If the function can determine the next higher permutation, it rearranges the elements as such and returns.[15]
  40. You may also notice that, according to the permutation formula, the number of permutations for choosing one element is simply n .[16]
  41. Examples of 'permutation' in a sentence permutation These examples have been automatically selected and may contain sensitive content.[17]
  42. A permutation, also called an “arrangement number” or “order,” is a rearrangement of the elements of an ordered list S into a one-to-one correspondence with S itself.[18]
  43. A given permutation of a finite set can be denoted in a variety of ways.[19]
  44. The most straightforward representation is simply to write down what the permutation looks like.[19]
  45. A permutation is a way of counting elements in a set.[20]
  46. In other words, a permutation is a way of reindexing a set.[20]
  47. Permutation is used when we are counting without replacement and the order matters.[21]
  48. The following diagrams give the formulas for Permutation, Combination, and Permutation with Repeated Symbols.[21]
  49. Generalizing, we can define permutation as an ordered arrangement of n district objects.[22]
  50. Keep in mind that permutation applies when the order matters, and combinations when it does not.[22]
  51. An array may be reordered according to a common permutation of the digits of each of its element indices.[23]
  52. By examination of this class of permutation in detail, very efficient algorithms for transforming very long arrays are developed.[23]
  53. A permutation is a collection or a combination of objects from a set where the order or the arrangement of the chosen objects does matter.[24]
  54. Permutation is an assortment or a combination of things from a set where the arrangement of the selected things does matter.[24]
  55. With permutation, we consider the order of the elements whereas with combinations we do not consider it.[24]
  56. Answer: As we know permutation is the arrangement of all or part of a set of things carrying importance of the order of the arrangement.[24]
  57. Permutation and combination are explained here elaborately, along with the difference between them.[25]
  58. In mathematics, permutation relates to the act of arranging all the members of a set into some sequence or order.[25]
  59. There are many formulas involved in permutation and combination concepts.[25]
  60. A permutation is used for the list of data (where the order of the data matters) and the combination is used for a group of data (where the order of data doesn’t matter).[25]
  61. Permutation tests permit us to choose the test statistic best suited to the task at hand.[26]
  62. Flexible, robust in the face of missing data and violations of assump­ tions, the permutation test is among the most powerful of statistical proce­ dures.[26]
  63. Through sample size reduction, permutation tests can reduce the costs of experiments and surveys.[26]

소스

  1. ↑ Definition, Formula, and Practical Example
  2. ↑ 2.0 2.1 2.2 permutations and combinations | Description, Examples, & Formula
  3. ↑ 3.0 3.1 3.2 3.3 Permutation
  4. ↑ 4.0 4.1 Permutations and combinations (Algebra 2, Discrete mathematics and probability) – Mathplanet
  5. ↑ 5.0 5.1 5.2 5.3 Easy Permutations and Combinations – BetterExplained
  6. ↑ Combinations and Permutations
  7. ↑ 7.0 7.1 7.2 Permutation -- from Wolfram MathWorld
  8. ↑ 8.0 8.1 8.2 Permutation
  9. ↑ 9.0 9.1 9.2 9.3 Permutation, Combination and Derangement: Formula, Examples
  10. ↑ 10.0 10.1 Permutation and Combination Calculator
  11. ↑ Random Permutations
  12. ↑ 12.0 12.1 12.2 Permutation - an overview
  13. ↑ 13.0 13.1 Brilliant Math & Science Wiki
  14. ↑ 14.0 14.1 14.2 14.3 Permutations — GSL 2.6 documentation
  15. ↑ 15.0 15.1 next_permutation
  16. ↑ Permutation Calculator
  17. ↑ Permutation definition and meaning
  18. ↑ Write a program to print all permutations of a given string
  19. ↑ 19.0 19.1 Art of Problem Solving
  20. ↑ 20.0 20.1 Permutations: Introduction
  21. ↑ 21.0 21.1 Permutations P(n,r) (video lessons, examples and solutions)
  22. ↑ 22.0 22.1 Permutations and Combinations
  23. ↑ 23.0 23.1 Array Permutation by Index-Digit Permutation
  24. ↑ 24.0 24.1 24.2 24.3 Permutation: Definition, Formula, Videos and Solved Examples
  25. ↑ 25.0 25.1 25.2 25.3 Permutation and Combination (Definition, Formulas & Examples)
  26. ↑ 26.0 26.1 26.2 Permutation Tests - A Practical Guide to Resampling Methods for Testing Hypotheses

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  • [{'LEMMA': 'permutation'}]
  • [{'LEMMA': 'arrangement'}]
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