Let \(A=\{1,2,3,4\}\) and \(B=\{1,4,9,16\}\). If \(f: A \rightarrow B\), then number of many-one functions from \(A\) to…
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PYQLet \(A=\{1,2,3,4\}\) and \(B=\{1,4,9,16\}\).
If \(f: A \rightarrow B\), then number of many-one functions from \(A\) to \(B\) are
[JEE Main 2025]
✓ Correct answer: b)
232
Explanation
\(\begin{aligned}& n(A)=4 \\& n(B)=4\end{aligned}\)
Number of many one functions =
Total functions - Number of one-one function
\(=4^4-4!=232\)
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