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Question: let a b be finite sets then carda cardb...

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Let A, B be finite sets. Then card(A) ≤ card(B) if and only if there exists a function from B onto A.

1. card(A) ≤ card(B) if and only if there exists a function from B onto A

2. card(A) < card(B) if and only if there exists a function from B onto A but there does not exist a function from A onto B.

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