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JEE Main 202522 JanuaryEvening Shift
Exam
JEE Main
Year
2025
Date
22 January
Shift
Evening Shift
Subject
Mathematics
Chapter
Permutation and Combination

JEE Main 2025 · 22 January · Evening Shift · Mathematics · Permutation and Combination

In a group of 3 girls and 4 boys, there are two boys B_1 and B_2 ....

In a group of 3 girls and 4 boys, there are two boys B1B_1 and B2B_2. 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 B1B_1 and B2B_2 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 B1\mathrm{B}_1 and B2\mathrm{B}_2 are together =2!(3!4!)−2!(3!(3!2!))=144=2!(3!4!)-2!(3!(3!2!))=144
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