How many stable matchings are possible in this world?

Consider a world withkmen andhwomen. Mani’s height isxiand womanj’sheight isyjfor alliandj. Assume that no two individuals in this world havethe same height. Also assume that both men and women prefer taller partners toshorter ones. Finally, both men and women prefer to be married to being single.(a) How many stable matchings are possible in this world? […]

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