A_4 in S_4 Find solutions to pic attached (a) How many distinct left cosets does \( A_4 \) have in \( S_4 \)?(b) List them(c) Give an example of a subgroup of \( S_4 \) with exactly 8 distinct left cosets.

Answered: Image /qna-images/answer/c623915f-b7d8-4393-93ed-6383879c8b16.jpg

Answered: (a) How many distinct left cosets does…

Advanced Engineering Mathematics

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(a) How many distinct left cosets does A, have in S, ? 12) (b) List them (b)4, and (c) Give an example of a subgroup of S, with exactly 8 distinct left cosets. 4