APMO 2015 problem 2

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samiul_samin
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APMO 2015 problem 2

Unread post by samiul_samin » Tue Feb 20, 2018 12:04 pm

Let $S$={$2,3,4$} denote the set of integers that are greater than or equal to $2$.Does there exist a function $f : S\rightarrow S$ such that,

$f(a)f(b)=f()a^2b^2$ for all $a,b\in S$ with $a$ is not equal to $b$?

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