Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main202522 Jan 2025Evening ShiftMathematicsPermutation and CombinationActual

In a group of 3 girls and 4 boys, there are two boys B₁ and B₂ . The number of ways, in which these girls and boys can stand in a queue such that all the girls stand together, all the boys stand together, but B₁ and B₂ are not adjacent to each other, is :

Options

  1. A96
  2. B144
  3. C120
  4. D72

Correct answer

B. 144

Step-by-step solution

Total - when B ₁ and B ₂ are together =2!(3!4!)-2!(3!(3!2!))=144

Practice Permutation and Combination on Quantrex Academy →

More from Permutation and Combination

All Permutation and Combination questions Full Permutation and Combination list All JEE Main PYQs