MP Board · Class 11 · Mathematics · SetsWhat is the number of subsets of a set containing $n$ elements?
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Total Attempts: 5
Accuracy Rate: 20%
Step-by-Step Solution
If a set contains $n$ elements, then the number of subsets of that set is given by the formula $2^n$. This is because each element has 2 choices: either it belongs to the subset or it does not.
Detailed Options Breakdown
Option : $n$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Sets.
Option 1: $2^n$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: $2^n - 1$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Sets.
Option 3: $n^2$
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.