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…
Q1 FREE PREVIEW
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 \(B\) 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
\(
=4^4-4!=232
\)
Practice more JEE Maths PYQs
See every question on Relations and Functions, or browse the full JEE question bank.
See all questions on Relations and Functions →