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Functions question

2023 · 30 Jan · Shift 2 · Q36

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PYQ Library
JEE Main
Mathematics
Functions
2023 · 30 Jan · Shift 2 · Q36

Functions question

2023 · 30 Jan · Shift 2 · Q36

JEE MainMathematicsFunctionsNumerical+4 / −1

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

\underline{\hspace{2cm}}

.

Numerical answer

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