1. Given the set A = {1,2,3,4,5,6}. Given S6 = {f: A→ Alf bijective mapping} is a group with respect to the function composition operation A. Is there any f € So that satisfies o (f) = 4? B. Is there any f E So that satisfies o (f) = 7? 1 2 3 4 5 6 C. If f = 6), define f2022 3 4 5 2 1 6.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please solve the problem abstract algebra subparts a,b,c  max in 30-45 minutes thank u 

1. Given the set A = {1,2,3,4,5,6}.
Given
S6 = {f: A→ Alf bijective mapping} is a group with respect to the
function composition operation
A. Is there any f € So that satisfies o(f) = 4?
B. Is there any f E So that satisfies o (f) = 7?
1
2 3 4 5
C. If f
6), define f2022
3
4 5 2
=
1 6.
Transcribed Image Text:1. Given the set A = {1,2,3,4,5,6}. Given S6 = {f: A→ Alf bijective mapping} is a group with respect to the function composition operation A. Is there any f € So that satisfies o(f) = 4? B. Is there any f E So that satisfies o (f) = 7? 1 2 3 4 5 C. If f 6), define f2022 3 4 5 2 = 1 6.
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