# proving a problem is NP

Please see the attachment below for the complete question.

We need to prove that the problem is NP -complete by reduction from Vertex-cover.

Problem :- Given a collection of sets { S1, S2 ,..., Sn} and a positive integer K. Does there exist a set T with at most K elements such that T disjoint Si not-equalto empty , 1<=i<=n ?

[we can use the edges in graph to create the sets in the collection ]

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#### Solution Summary

Proving a problem is NP is achieved.

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