(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
icon
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)
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)
Expert Solution
steps

Step by step

Solved in 6 steps with 6 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,