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GRE数学重要知识点:排列

时间:2019-12-02 09:47:00   来源:新东方在线     [字体: ]

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  Permutation of Objects


  The number of ways n distinct objects can be ordered is n!.


  Example:


  Number of ways 6 people can from a queue is 6!.


  Number of ways 5 different cars can be parked in 5 parking spaces is 5!.


  Remember:


  This does not apply if there are identical objects or ordering does not matter.


  Permutation with Selection


  The number of ways n objects drawn from a collection of m distinct objects can be ordered is m!/(m-n)!.


  Example:


  Number of ways a queue of length 3 can be formed from a group of 5 people is 5!/(5-3)!=5!/2!=5*4*3=60.


  Number of possible top ten list for 150 movies is 150!/(150-10)!.


  Remember:


  This does not apply if there are identical objects or ordering does not matter.