NCERT · Class 11 · Mathematics · Permutations and CombinationsHow many words can be formed using all the letters of the word 'ROSE'?
Step-by-Step Solution
The word 'ROSE' has 4 distinct letters. The number of ways to arrange 4 distinct letters taken all at a time is $4! = 4 \times 3 \times 2 \times 1 = 24$. Therefore, option A is correct.
Detailed Options Breakdown
Option : 24 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: 12
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Permutations and Combinations.
Option 2: 48
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Permutations and Combinations.
Option 3: 16
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Permutations and Combinations.
💡 Study Guide: This question tests core syllabus concepts from Permutations and Combinations. For formulas, key summaries, and mock exam reference guides, read the full Permutations and Combinations Revision Notes.