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  4. If A = a,b,c then the number of binary operations on A is

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

KCETKCET 2020

Solution:

$A=\{a, b, c\}$
$n(A)=3$
Number of binary operations is
$n ( A )^{( n ( A ))^ 2}=3^{\left(3^ 2\right)}=3^{9}$