Permutations
The number of permutations of the letters of the word 'MATH' is
Select the correct option:
Solution
24
- Analyze Word: The word 'MATH' contains 4 distinct letters: M, A, T, H.
- Identify Formula: The number of ways to arrange n distinct objects in a row is n! (n factorial).
- Calculation:
- 4!=4×3×2×1
- =24.
- Result: There are 24 unique permutations.
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About This Question
- Subject
- mathematics
- Chapter
- permutations and combinations
- Topic
- permutations
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
24
- Analyze Word: The word 'MATH' contains 4 distinct letters: M, A, T, H.
- Identify Formula: The number of ways to arrange n distinct objects in a row is n! (n factorial).
- Calculation:
- 4!=4×3×2×1
- =24.
- Result: There are 24 unique permutations.
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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