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==동영상 강좌==
 
==동영상 강좌==
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== 노트 ==
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===위키데이터===
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* ID :  [https://www.wikidata.org/wiki/Q161519 Q161519]
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===말뭉치===
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# A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.<ref name="ref_9fa2c7ab">[https://corporatefinanceinstitute.com/resources/knowledge/other/permutation/ Definition, Formula, and Practical Example]</ref>
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# This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor.<ref name="ref_8f32b3ba">[https://www.britannica.com/science/permutation permutations and combinations | Description, Examples, & Formula]</ref>
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# Read More on This Topic combinatorics: Binomial coefficients …n objects is called a permutation of n things taken r at a time.<ref name="ref_8f32b3ba" />
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# indistinguishable permutations for each choice of k objects; hence dividing the permutation formula by k!<ref name="ref_8f32b3ba" />
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# 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.<ref name="ref_364fa5eb">[https://en.wikipedia.org/wiki/Permutation Permutation]</ref>
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# This is related to the rearrangement of the elements of S in which each element s is replaced by the corresponding f(s).<ref name="ref_364fa5eb" />
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# The group operation is the composition (performing two given rearrangements in succession), which results in another rearrangement.<ref name="ref_364fa5eb" />
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# 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.<ref name="ref_364fa5eb" />
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# Before we discuss permutations we are going to have a look at what the words combination means and permutation.<ref name="ref_2f775480">[https://www.mathplanet.com/education/algebra-2/discrete-mathematics-and-probability/permutations-and-combinations Permutations and combinations (Algebra 2, Discrete mathematics and probability) – Mathplanet]</ref>
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# If the order doesn't matter then we have a combination, if the order does matter then we have a permutation.<ref name="ref_2f775480" />
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# Here’s an easy way to remember: permutation sounds complicated, doesn’t it?<ref name="ref_e40625c7">[https://betterexplained.com/articles/easy-permutations-and-combinations/ Easy Permutations and Combinations – BetterExplained]</ref>
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# You know, a "combination lock" should really be called a "permutation lock".<ref name="ref_e40625c7" />
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# We’re using the fancy-pants term “permutation”, so we’re going to care about every last detail, including the order of each item.<ref name="ref_e40625c7" />
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# Wait a minute… this is looking a bit like a permutation!<ref name="ref_e40625c7" />
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# To help you to remember, think "Permutation ...<ref name="ref_2a13f8c5">[https://www.mathsisfun.com/combinatorics/combinations-permutations.html Combinations and Permutations]</ref>
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# 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.<ref name="ref_7a713d3d">[https://mathworld.wolfram.com/Permutation.html Permutation -- from Wolfram MathWorld]</ref>
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# 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).<ref name="ref_7a713d3d" />
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# This is denoted , corresponding to the disjoint permutation cycles (2) and (143).<ref name="ref_7a713d3d" />
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# A permutation can be calculated by hand as well, where all the possible permutations are written out.<ref name="ref_6f6231bc">[https://www.investopedia.com/terms/p/permutation.asp Permutation]</ref>
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# A simple approach to visualize a permutation is the number of ways a sequence of a three-digit keypad can be arranged.<ref name="ref_6f6231bc" />
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# Both permutation and combinations involve a group of numbers.<ref name="ref_6f6231bc" />
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# A permutation or combination is a set of ordered things.<ref name="ref_10cda419">[https://www.statisticshowto.com/probability-and-statistics/probability-main-index/permutation-combination-formula/ Permutation, Combination and Derangement: Formula, Examples]</ref>
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# If you do care about order, it’s a permutation.<ref name="ref_10cda419" />
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# Picking winners for a first, second and third place raffle is a permutation, because the order matters.<ref name="ref_10cda419" />
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# Permutation isn’t a word you use in everyday language.<ref name="ref_10cda419" />
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# 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!.<ref name="ref_fc50ae04">[https://www.calculator.net/permutation-and-combination-calculator.html Permutation and Combination Calculator]</ref>
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# It makes sense that there are fewer choices for a combination than a permutation, since the redundancies are being removed.<ref name="ref_fc50ae04" />
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# A permutation refers to an arrangement of elements.<ref name="ref_8cc465e4">[https://www.w3schools.com/python/numpy_random_permutation.asp Random Permutations]</ref>
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# Robinson and Schensted found a one to one correspondence between a permutation and a pair of standard Young tableaux of the same shape.<ref name="ref_a0a0ae42">[https://www.sciencedirect.com/topics/mathematics/permutation Permutation - an overview]</ref>
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# 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.<ref name="ref_a0a0ae42" />
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# 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.<ref name="ref_a0a0ae42" />
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# 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 .<ref name="ref_9ac4e5b0">[https://brilliant.org/wiki/permutations/ Brilliant Math & Science Wiki]</ref>
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# 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.<ref name="ref_9ac4e5b0" />
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# A permutation is represented by an array of integers in the range 0 to , where each value occurs once and only once.<ref name="ref_ea4cad65">[https://www.gnu.org/software/gsl/doc/html/permutation.html Permutations — GSL 2.6 documentation]</ref>
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# The application of a permutation to a vector yields a new vector where .<ref name="ref_ea4cad65" />
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# For example, the array represents a permutation which exchanges the last two elements of a four element vector.<ref name="ref_ea4cad65" />
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# A permutation is defined by a structure containing two components, the size of the permutation and a pointer to the permutation array.<ref name="ref_ea4cad65" />
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# If the function can determine the next higher permutation, it rearranges the elements as such and returns true .<ref name="ref_17c955fb">[http://www.cplusplus.com/reference/algorithm/next_permutation/ next_permutation]</ref>
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# If the function can determine the next higher permutation, it rearranges the elements as such and returns.<ref name="ref_17c955fb" />
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# You may also notice that, according to the permutation formula, the number of permutations for choosing one element is simply n .<ref name="ref_c9497ee2">[https://www.omnicalculator.com/statistics/permutation Permutation Calculator]</ref>
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# Examples of 'permutation' in a sentence permutation These examples have been automatically selected and may contain sensitive content.<ref name="ref_60f3dec8">[https://www.collinsdictionary.com/dictionary/english/permutation Permutation definition and meaning]</ref>
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# 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.<ref name="ref_846bb98b">[https://www.geeksforgeeks.org/write-a-c-program-to-print-all-permutations-of-a-given-string/ Write a program to print all permutations of a given string]</ref>
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# A given permutation of a finite set can be denoted in a variety of ways.<ref name="ref_a242f85d">[https://artofproblemsolving.com/wiki/index.php/Permutation Art of Problem Solving]</ref>
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# The most straightforward representation is simply to write down what the permutation looks like.<ref name="ref_a242f85d" />
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# A permutation is a way of counting elements in a set.<ref name="ref_8f512ea8">[https://www.cut-the-knot.org/do_you_know/permutation.shtml Permutations: Introduction]</ref>
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# In other words, a permutation is a way of reindexing a set.<ref name="ref_8f512ea8" />
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# Permutation is used when we are counting without replacement and the order matters.<ref name="ref_a8421c8c">[https://www.onlinemathlearning.com/permutations-math.html Permutations P(n,r) (video lessons, examples and solutions)]</ref>
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# The following diagrams give the formulas for Permutation, Combination, and Permutation with Repeated Symbols.<ref name="ref_a8421c8c" />
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# Generalizing, we can define permutation as an ordered arrangement of n district objects.<ref name="ref_d80dad6f">[https://accendoreliability.com/permutations-and-combinations/ Permutations and Combinations]</ref>
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# Keep in mind that permutation applies when the order matters, and combinations when it does not.<ref name="ref_d80dad6f" />
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# An array may be reordered according to a common permutation of the digits of each of its element indices.<ref name="ref_37004be3">[https://dl.acm.org/doi/abs/10.1145/321941.321949 Array Permutation by Index-Digit Permutation]</ref>
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# By examination of this class of permutation in detail, very efficient algorithms for transforming very long arrays are developed.<ref name="ref_37004be3" />
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# 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.<ref name="ref_619c8d52">[https://www.toppr.com/guides/maths/permutations-and-combinations/permutations/ Permutation: Definition, Formula, Videos and Solved Examples]</ref>
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# Permutation is an assortment or a combination of things from a set where the arrangement of the selected things does matter.<ref name="ref_619c8d52" />
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# With permutation, we consider the order of the elements whereas with combinations we do not consider it.<ref name="ref_619c8d52" />
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# 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.<ref name="ref_619c8d52" />
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# Permutation and combination are explained here elaborately, along with the difference between them.<ref name="ref_4bfbd10c">[https://byjus.com/maths/permutation-and-combination/ Permutation and Combination (Definition, Formulas & Examples)]</ref>
 +
# In mathematics, permutation relates to the act of arranging all the members of a set into some sequence or order.<ref name="ref_4bfbd10c" />
 +
# There are many formulas involved in permutation and combination concepts.<ref name="ref_4bfbd10c" />
 +
# 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).<ref name="ref_4bfbd10c" />
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# Permutation tests permit us to choose the test statistic best suited to the task at hand.<ref name="ref_307eb8ae">[https://www.springer.com/gp/book/9781475723465 Permutation Tests - A Practical Guide to Resampling Methods for Testing Hypotheses]</ref>
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# 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.<ref name="ref_307eb8ae" />
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# Through sample size reduction, permutation tests can reduce the costs of experiments and surveys.<ref name="ref_307eb8ae" />
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===소스===
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<references />

2020년 12월 21일 (월) 08:08 판

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[1]http://www.mathlove.org/pds/mathqa/faq/combin/-순열 관련 수학사랑 질문 모음음

 

동영상 강좌

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말뭉치

  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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