The number of binary operation that can be defined on a set of 2 … - Vidyadip

MCQ

The number of binary operation that can be defined on a set of $2$ elements is:

A
$8$
B
$4$
✓
$16$
D
$64$

✓

Answer

Correct option: C.

$16$

Total number of binary operations on a set containing $n$ elements is $\text{(n)}^{\text{n}^2}$
so for $n = 2$ we have $(2)^{2^2}=2^4=16$

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