Let A=\1,2,3,5,8,9. Then the number of possible functions f: A → A such that f(m · n)=f(m) · f(n) for every m, n A with m · n A is equal to _ _ _ _ _ _.

Sets, Relations and Functions: JEE Main 2023 Mathematics question

JEE Main 2023 · 30 Jan, Evening shift · Q33

JEE Main 202330 Jan, Evening shiftMathematicsMediumSets, Relations and Functions168× since 2002

Let

A=\{1,2,3,5,8,9\}

. Then the number of possible functions

f: A \rightarrow A

such that

f(m \cdot n)=f(m) \cdot f(n)

for every

m, n \in A

with

m \cdot n \in A

is equal to ___________.

Your answerType your answer. Integers and decimals are accepted.