(a) (14)(13)(12) (b) (14)(18)(19) (c) (16)(15)(14)(13)(1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 29E
Related questions
Question
Please do Exercise 14.4.24 part C and E. Please show step by step and explain.
![14.4.3 Transpositions and inverses
The simplest nontrivial cycles are those of length 2. We will show that these
2-cycles are convenient “building blocks" which can be used to construct all
other cycles.
Definition 14.4.23. Cycles of length 2 are called transpositions. We will
often denote transpositions by the symbol 7 (the greek letter “tau").
Exercise 14.4.24. Compute the following products:
(a) (14)(13)(12)
(d) (49)(48)(47)(46)(45)
(b) (14)(18)(19)
(c) (16)(15)(14)(13)(12)
(e) (12)(13)(14)(15)(16)(17)(18)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F892e817a-9b32-4eeb-b8fc-5dd7ffde6479%2F97c7bec9-8a85-42f0-b719-826175302361%2Frlty4oo_processed.png&w=3840&q=75)
Transcribed Image Text:14.4.3 Transpositions and inverses
The simplest nontrivial cycles are those of length 2. We will show that these
2-cycles are convenient “building blocks" which can be used to construct all
other cycles.
Definition 14.4.23. Cycles of length 2 are called transpositions. We will
often denote transpositions by the symbol 7 (the greek letter “tau").
Exercise 14.4.24. Compute the following products:
(a) (14)(13)(12)
(d) (49)(48)(47)(46)(45)
(b) (14)(18)(19)
(c) (16)(15)(14)(13)(12)
(e) (12)(13)(14)(15)(16)(17)(18)
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