Permutation and Combination - Permutations of Distinct Objects

Permutation and Combination - Permutations of Distinct Objects

  1. In how many ways can six copies of a book be distributed among nine people if no one gets more than one copy?
  2. In how many ways can six different books be distributed among nine people if no one gets more than one copy?
  3. In how many ways can six different books be distributed among nine people if each person can get any number of books?
  4. In how many ways can four copies of a book be distributed among nine people if each person can get any number of books?

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Answer:(i) \(84\) (ii) \(60\,480\) (iii) \(531\,441\) (iv) \(495\)

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