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I'm trying to get this going I've been working on it for a little while

user60685
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  • Hall's Marriage Theorem guarantees the existence of such a bijection (but I don't know how helpful it is in constructing one). – Gerry Myerson Mar 04 '13 at 03:32
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    http://math.stackexchange.com/questions/126065/for-kn-2-construct-a-bijection-f-from-k-subsets-of-n-to-n-k-subse – anon Mar 04 '13 at 04:35

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