Let A=\1,2,3,4 and B=\1,4,9,16. Then the number of many-one functions f: A → B such that 1 f(A) is equal to:

Sets, Relations and Functions: JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q37

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumSets, Relations and Functions168× since 2002

Let

\mathbf{A}=\{1,2,3,4\}

and

\mathbf{B}=\{1,4,9,16\}

. Then the number of many-one functions

f: \mathbf{A} \to \mathbf{B}

such that

1 \in f(\mathbf{A})

is equal to:

JEE Main 2025 · January, Unspecified (session-level dataset) · Q37

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumSets, Relations and Functions168× since 2002

Let

\mathbf{A}=\{1,2,3,4\}

and

\mathbf{B}=\{1,4,9,16\}

. Then the number of many-one functions

f: \mathbf{A} \to \mathbf{B}

such that

1 \in f(\mathbf{A})

is equal to: