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AP EAMCET202421 May 2024Morning ShiftMathematicsPermutation and CombinationActual

The number of ways in which 3 men and 3 women can be arranged in a row of 6 seats, such that the first and last seats must be filled by men is

Options

  1. A720
  2. B36
  3. C144
  4. D72

Correct answer

C. 144

Step-by-step solution

3 M , 3 ~W array |l|l|l|l|l|l| M & & & & & M array Number of ways of filling first and last seats = ^3 C₂ 2!=6 No. of ways of filling middle seats is =4 ! Requires number =24 6=144

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