Determine who serves first for each pairing

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A tennis club has 2n members. We want to pair up the members by twos for single matches. In how many ways can we pair up all the members of the club? Suppose that in addition to specifying who plays whom, we also determine who serves first for each pairing. Now in how many ways can we specify our pairs? Justify your answers. (Please be sure to answer the latter part of this question - I need to understand how to determine who serves first for each pairing.)

Reference no: EM13209961

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