Q2. 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 : (1) 96 (2) 144 (3) 120 (4) 72
What This Question Tests
This problem requires grouping elements, arranging the groups, and then arranging elements within groups, while also applying a negative restriction for specific individuals (B1 and B2 not adjacent).
Concepts Tested
Formulas Used
n!
Principle of Inclusion-Exclusion (implicitly for 'not adjacent')
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๐ Question Details
- Chapter
- Permutation & Combination
- Topic
- Arrangement with restrictions
- Year
- 2025
- Shift
- 22 Jan Shift 2
- Q Number
- Q2
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 7: Permutations and Combinations
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