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Misc 9 - It is required to seat 5 men and 4 women in a row - Miscellaneous

  1. Chapter 7 Class 11 Permutations and Combinations
  2. Serial order wise
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Misc 9 It is required to seat 5 men and 4 women in a row so that the women occupy the even places. How many such arrangements are possible? These are total 9 people The seating arrangement will be as follows Women occupy II, IV, VI, VIII places 4 women can sit in 4 postion Total number of ways = 4P4 = 4!/(4 − 4)! = 4!/0! = 4!/1 = 4 × 3 × 2 × 1 = 24 ways Total number of arrangements = 24 × 120 = 2880

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