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AP EAMCET2007MathematicsPermutation and 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

Options

  1. A8 !
  2. B4 !
  3. C8 ! 4 !
  4. D7 ! ^8 P₄

Correct answer

D. 7 ! ^8 P₄

Step-by-step solution

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 P₄ Required number of ways =7 !^8 P₄ .

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