(adsbygoogle = window.adsbygoogle || []).push({}); the axiom of choice. Help!!!

well i am having trouble understanding why we need the axiom of choice. So could anybody post here some problems, and their solutions, that include the axiom of choice, and explain how it works, so how it is used in solving problems, and explain why we actually need the axiom of choice at all.

I would also like to know how to show the equivalence between the axiom of choice and Zorn's lemma, and Cermelo's theorem( every non empty set X can be well ordered).

thnx in return.

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# The axiom of choice. Help

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