Permutation and Combination - Permutations of Distinct Objects

Permutation and Combination - Permutations of Distinct Objects

At a table, \(5\) boys and \(4\) girls are to be seated on a round table. How many ways can this be done if

  1. there is no restrictions,
  2. there is no restrictions and the seats are numbered,
  3. \(4\) girls must sit together,
  4. \(3\) particular boys cannot sit together?

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Answer:(i) \(40\,320\) (ii) \(362\,880\) (iii) \(2880\) (iv) \(14\,400\)

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