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Posted: **Wed Jul 06, 2022 11:58 am**

: 7 Show That There Are N Permutations Of A Set With N Elements 8 Show That If A E For All Elements A E G Then G I 1 (12 KiB) Viewed 13 times

7. Show that there are n! permutations of a set with n elements. 8. Show that if a² = e for all elements a E G, then G is abelian. 9. Show that if G is a finite group of even order then there exists an ae E G such that ² 0