Permutations
In how many ways can 6 people be seated in a row?
Select the correct option:
Solution
720
- Determine Objective: Linear arrangement of human beings (distinct entities).
- Identify Number of Spots: 6 people filling 6 positions.
- Apply Formula: 6!.
- Calculation:
- 6!=720.
- Logic: The first chair has 6 choices, second has 5, and so on (6×5×4×3×2×1).
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About This Question
- Subject
- mathematics
- Chapter
- permutations and combinations
- Topic
- permutations
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
720
- Determine Objective: Linear arrangement of human beings (distinct entities).
- Identify Number of Spots: 6 people filling 6 positions.
- Apply Formula: 6!.
- Calculation:
- 6!=720.
- Logic: The first chair has 6 choices, second has 5, and so on (6×5×4×3×2×1).
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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