Let R=, b, c, d, e and S=\1,2,3,4. Total number of onto functions f: R → S such that f(a) ≠ 1, is equal to _ _ _ _ _ _ _.

Sets, Relations and Functions: JEE Main 2023 Mathematics question

JEE Main 2023 · 8 Apr, Evening shift · Q33

JEE Main 20238 Apr, Evening shiftMathematicsMediumSets, Relations and Functions168× since 2002

Let

\mathrm{R}=\{\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d}, \mathrm{e}\}

and

\mathrm{S}=\{1,2,3,4\}

. Total number of onto functions

f: \mathrm{R} \rightarrow \mathrm{S}

such that

f(\mathrm{a}) \neq 1

, is equal to ______________.

Your answerType your answer. Integers and decimals are accepted.