The total number of ways in which 2n persons can be divided into n couples
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Number of ways of dividing these people 2nPn=n!2n!
There are 2n similar people(as they are couples)
Here, we are dividing 2n people in n groups of 2 each, and we are concerned with mere grouping.
Hence, the required number of ways is n!(2!)n2n!.
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