NCERT · Class 11 · Mathematics · SetsWhich of the following is a well-defined collection and hence a set?
Step-by-Step Solution
A set is a well-defined collection of objects. The collection of all vowels in the English alphabet is well-defined because anyone can universally determine whether a letter is a vowel or not. The other options depend on personal opinions or preferences, making them not well-defined collections.
Detailed Options Breakdown
Option : The collection of all clever students in a class
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Sets.
Option 1: The collection of all vowels in the English alphabet (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: The collection of all talented writers of India
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Sets.
Option 3: The collection of most dangerous animals in the world
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Sets.
💡 Study Guide: This question tests core syllabus concepts from Sets. For formulas, key summaries, and mock exam reference guides, read the full Sets Revision Notes.