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TS EAMCET · Maths · Permutation Combination

The number of ways of arranging 8 men and 4 women around a circular table such that no two women can sit together is

  1. A \(8 !\)
  2. B \(4 !\)
  3. C \(8 ! 4 !\)
  4. D \(7 !{ }^8 P_4\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(7 !{ }^8 P_4\)

Step-by-step Solution

Detailed explanation

The number of ways of arranging 8 men \(=7\) ! The number of ways of arranging 4 women such that no two women can sit together \(={ }^8 P_4\) \(\therefore\) Required number of ways \(=7 !^8 P_4\).