SOLUTION: If a hospital will hire 6 nurses, in how many ways can they be assigned to 6 different deparments?

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Question 1017548: If a hospital will hire 6 nurses, in how many ways can they be assigned to 6 different deparments?
Answer by ikleyn(52777) About Me  (Show Source):
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If a hospital will hire 6 nurses, in how many ways can they be assigned to 6 different deparments?
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It is a standard (typical) problem on permutations.

The answer is 6! = 1*2*3*4*5*6 = 720.

For details, see the lessons
    - Introduction to Permutations
    - PROOF of the formula on the number of Permutations
    - Problems on Permutations
in this site.