Q62.Eight persons are to be transported from city A to city B in three cars of different makes. If each car can accommodate at most three persons, then the number of ways, in which they can be transported, is (1) 1120 (2) 3360 (3) 1680 (4) 560 1
What This Question Tests
The problem requires partitioning 8 distinct persons into groups and then distributing these groups among 3 distinct cars, respecting the capacity constraint, which involves careful use of combinations and permutations.
Concepts Tested
Formulas Used
nCr = n! / (r! * (n-r)!)
๐ NCERT Sections This Tests
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5.15 Discuss the nature of bonding in the following coordination entities on the basis of valence bond theory: (i) [Fe(CN)6] 4โ (ii) [FeF6] 3โ (iii) [Co(C2O4)3]3โ (iv) [CoF6] 3โ
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๐ Question Details
- Chapter
- Permutation & Combination
- Topic
- Distribution of distinct objects into distinct groups
- Year
- 2023
- Shift
- 10 Apr Shift 2
- Q Number
- Q62
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 7: Permutations and Combinations
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