Question: Prove that if A Q P([n]) is intersecting then there is an intersecting family B Q P([n]) such that |B| = 21 and A Q

Prove that if A Q P([n]) is intersecting then there is an intersecting family B Q P([n]) such that |B| = 2\"1 and A Q B. (Hint: given A consider how you can add sets to A while keeping the family intersecting.)

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