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In how many ways can $8$ people be divided into

  1. $4$ groups of $2$ people

  2. First pair, second pair. Third pair and the fourth pair

How do you go about doing this question?

  • 0
    Are you familiar with binomial coefficients? What have you tried?2012-11-02

1 Answers 1

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4 groups of 2 people:

  _ _      _ _      _ _      _ _ ( 8.7/2! * 6.5/2! * 4.3/2! * 2.1/2! )/4! 

First pair, second pair. Third pair and the fourth pair:

1º pair -> 8*7/2! = 28 2º pair -> 6*5/2! = 15  ...    ->   ... 
  • 0
    Use consistent notation, please.2012-11-02