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Relations and Functions
NCERT Exemplar Class 12
CBSE
Grade 12
Question:
Set $A$ has $m$ elements and set $B$ has $n$ elements. Total number of non-empty relations from $A$ to $B$ is: (a) $2^{mn} - 1$ (b) $2^{mn}$ (c) $m^n$ (d) $n^m$
Step-by-Step Solution
Total non-empty relations $= 2^{mn} - 1$. [1.0 Mark]
--- 🎯 Official CBSE Marking Scheme: Selecting $2^{mn} - 1$: 1.0 Mark
Correct Answer:$2^{mn} - 1$
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