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A tennis club has 2n members we want to pair up the members

Question: A tennis club has 2n members. We want to pair up the members by twos for singles matches. In how many ways may we pair up all the members of the club? Suppose that in addition to specifying who plays whom, for each pairing we say who serves first. Now in how many ways may we specify our pairs?

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Mathematics: A tennis club has 2n members we want to pair up the members

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