4. (i) Write the following permutations in S9 as a product of disjoint cycles 1 2 3 4 56789 f 7 298 34 165 ) , g= ( 1 2 3 4 5 6 7 8 9 56789 1 2 3 4 (ii) Calculate fg and write it both in two row notation and as a product of disjoint cycles. (iii) Calculate f-1 and write it both in two row notation and as a product of disjoint cycles. (iv) Find the order of f, and compute f20 as a product of disjoint cycles. (v) Determine which of f, g and fg are even or odd.

4. (i) Write the following permutations in S9 as a product of disjoint cycles 1 2 3 4 56789 f 7 298 34 165 ) , g= ( 1 2 3 4 5 6 7 8 9 56789 1 2 3 4 (ii) Calculate fg and write it both in two row notation and as a product of disjoint cycles. (iii) Calculate f-1 and write it both in two row notation and as a product of disjoint cycles. (iv) Find the order of f, and compute f20 as a product of disjoint cycles. (v) Determine which of f, g and fg are even or odd.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.5: The Binomial Theorem

Problem 15E

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