Hi,

In how many different ways can a chairperson and assistant chairperson be

 selected if there are seven scientists available?

Order of Selections Important.  This is a Permutation.

Number of permutations of a set of n objects taken r at a time is given by:

nPr = (n!)/(n - r)!.  

  7P2 = 7!/5! = 42 ways 

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