Let $A=\{1,2,3,4\}$ and $B=\{1,4,9,16\}$. Then the number of many-one functions $f: A \rightarrow B$ such that $1 \in f(A)$ is equal to : [JEE Main 2025, 22 Jan (Shift 2)]

Question

YESPYQ · Accepted Answer

Correct answer: b) 151. Total number of functions = ${4}^{4}=256$ One-one functions = $4!$ Many-one functions $=256-24=232$ Many-one functions in which $1\notin \mathrm{f}(\mathrm{A})$ $=3.3.3.3=81$ Required number of functions = $232-81=151$

Let \(A=\{1,2,3,4\}\) and \(B=\{1,4,9,16\}\). Then the number of many-one functions \(f: A \rightarrow B\) such that \(1…

Practice more JEE Maths PYQs