NCERT · Class 11 · Mathematics · Relations and FunctionsLet $A = \{1, 2\}$ and $B = \{3, 4\}$. The number of relations from $A$ to $B$ is:
Step-by-Step Solution
The number of elements in $A \times B$ is $n(A) \times n(B) = 2 \times 2 = 4$. The total number of relations from $A$ to $B$ is equal to the number of subsets of $A \times B$, which is $2^{n(A \times B)} = 2^4 = 16$. Thus, option D is correct.
Detailed Options Breakdown
Option : 2
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Relations and Functions.
Option 1: 4
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Relations and Functions.
Option 2: 8
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Relations and Functions.
Option 3: 16 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
💡 Study Guide: This question tests core syllabus concepts from Relations and Functions. For formulas, key summaries, and mock exam reference guides, read the full Relations and Functions Revision Notes.