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CAT 2024 Set-1 | Quantitative Aptitude | Question: 2

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Consider two sets $A=\{2,3,5,7,11,13\}$ and $B=\{1,8,27\}$. Let $f$ be a function from $A$ to $B$ such that for every element $b$ in $B$, there is at least one element $a$ in $A$ such that $f(a)=b$. Then, the total number of such functions $f$ is

  1. $537$
  2. $540$
  3. $665$
  4. $667$

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