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MHT CET20225 Aug 2022Morning ShiftMathematicsPermutation and CombinationActual

It is required to seat 5 men and 4 women in a row so that the men occupy odd places. Then the number of arrangements that are possible is

Options

  1. A144
  2. B362880
  3. C2880
  4. D1140

Correct answer

C. 2880

Step-by-step solution

M 1 W 2 M 3 W 4 M 5 W 6 M 7 W 8 M 9 5 men can be seated in 5 odd places in 5_ P ₅ =120 ways and 4 women can be seated in remaining 4 places in 4_ p₄ =24 ways Total possible arrangements =120 24=2880

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