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NTA Abhyas JEE Main2020MathematicsPermutation and CombinationPractice

The number of ways of selecting 15 teams from 15 men and 15 women, such that each team consists of a man and a woman, is

Options

  1. A1960
  2. B15 !
  3. C15 ! 2
  4. D14 !

Correct answer

B. 15 !

Step-by-step solution

First team can be selected in 15 C 1 . 15 C 1 way second in 14 C 1 14 C 1 way's and so on So number of ways of selections 15 teams = 15 ! 2 15 ! = 15 !

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