Permutations
The number of ways in which 5 different books can be arranged on a shelf is
Select the correct option:
Solution
120
- Definition of Permutation: An arrangement where order matters.
- Identify Objects: There are 5 distinct books.
- Apply Formula: The number of arrangements is 5!.
- Expansion:
- 5!=5×4×3×2×1=120.
- Conclusion: 120 ways.
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About This Question
- Subject
- mathematics
- Chapter
- permutations and combinations
- Topic
- permutations
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
120
- Definition of Permutation: An arrangement where order matters.
- Identify Objects: There are 5 distinct books.
- Apply Formula: The number of arrangements is 5!.
- Expansion:
- 5!=5×4×3×2×1=120.
- Conclusion: 120 ways.
This easy difficulty mathematics question is from the chapter permutations and combinations, covering the topic of permutations. It appeared in the 2025 exam.
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