Is it possible to find three pairs such that if the, Basic Statistics

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Is it possible to find three pairs such that if the

Given a stable matching of n men and n women,

(a) Is it possible to find three pairs such that if the matching among them is changed, each man will be matched to a woman whom he prefers, and each woman will be matched to a man whom she prefers?

(b) Generalize this conclusion to a subset of k pairs, for every 4 ≤ k ≤ n.

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