Q114 / 180 · KCET 2020 · Mathematics

If $A=\{a, b, c\}$, then the number of binary operations on $A$ is

  • A
    3
  • B
    $3^{6}$
  • C
    $3^{3}$
  • Correct answer
    D
    $3^{9}$

Solution

We have, $A=\{a, b, c\}$ The number of binary operations on $A$ is $3^{3^{2}}=3^{9}$

Hence, the correct answer is option: 'D'.

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